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KATSURADA Masanori  桂田 昌紀

ORCIDConnect your ORCID iD *help
… Alternative Names

桂田 昌紀  カツラダ マサノリ

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Researcher Number 90224485
Other IDs
External Links
Affiliation (Current) 2025: 慶應義塾大学, 経済学部(日吉), 教授
Affiliation (based on the past Project Information) *help 2016 – 2021: 慶應義塾大学, 経済学部(日吉), 教授
2011 – 2015: 慶應義塾大学, 経済学部, 教授
2001 – 2009: 慶應義塾大学, 経済学部, 教授
2008: 慶応義塾大学, 経済学部, 教授
2002 – 2004: Keio Univ., Fac.of Econ., Professor, 経済学部, 教授 … More
2002: 慶應義塾大学, 経済学部, 助教授
2001: 慶応大学, 経済学部, 教授
2000: 慶応義塾大学, 経済学部, 助教授
1999 – 2000: 慶應義塾大学, 経済学部, 助教授
1999: Keio Univ., Fac. of Eco., Assoc. Prof., 経済学部, 助教授
1997 – 1998: 鹿児島大学, 理学部, 助教授
1995 – 1996: 鹿児島大学, 理学部, 助手
1993: 鹿児島大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / Algebra / Basic analysis
Keywords
Principal Investigator
ゼータ関数 / 漸近展開 / テータ関数 / zeta-function / theta function / asymptotic expansion / 特殊値 / モノドロミ理論 / 超幾何関数 / L関数 … More / 積分変換 / 加重・多重平均化 / mean value / specific value / higher derivative / zeta function / メリン変換 / 高階導関数 / asymptotic expansions / テータ級数 / 二乗平均 / ベキ級数展開 / Mallin-Barnes積分 / Lerchゼータ関数 / Hurwitzゼータ関数 / 多重ゼータ関数 / 漸近挙動 / 多重母関数 / 母関数 / generating function / 多変数超幾何関数 / 非正則Eisenstein級数 / q超幾何関数 / Eisenstein級数 / Mellin-Barens積分 / qアナログ / ディオファンタス近似 / 超幾何函数 / L函数 / ゼータ函数 … More
Except Principal Investigator
1次独立性 / Linear Independence / 無理数度 / 無理数 / q-関数 / Pade approximation / Shidlovskii's Lemma / q-Difference Equation / Irrationality / シドロフスキの補題 / q-超幾何級数 / q-差分方程式 / Universality / ゼータ関数 / universality / Rankin-Selberg L関数 / 漸近展開 / Riemannゼータ関数 / パデ近似 / Irrational Number / q-Function / Linear Recurrence Sequence / Theta Series / Rationality Criterion / Irrationality Measure / q-Hypergeometric Sereis / q- Function / 線形回帰数列 / テータ級数 / 有理性判定条件 / zeta function / polylogarithm / hypergeometric function / transcendency / continued fraction / linear independence / irrationality measure / 9-関数 / 近似 / 多項式 / G関数 / モノドロミー理論 / Pade近似 / Diophantine inequality / Saddle points / Bernoulli numbers / Trans cendence / Metric Property / Fredholm series / Polylogarithms / Roth-Ridont theorem / Transcendence / Linear independence / 多重対数関数 / 超幾何関数 / 超越数 / 連分数 / 一次独立 / Automorphic L-function / Modular relation / Ramanujan's formula / Hurwitx zeta-function / Analytic continuation / Euler-Zagier sum / Multiple zeta-function / 実二次体 / 普遍性 / 多重ガンマ関数 / Mellin-Barnes formula / 近似関数等式 / Ramanujan formula / 保型L関数 / 普遍性定理 / モジュラー関係式 / Ramanujan公式 / Hurwitzゼータ関数 / 解析接続 / Euler-Zagier和 / 多重ゼータ関数 / q-Hypergeometric Series / Approximation Measure / 超幾何級数 / 近似測度 / 無理性 / Rankin-Selberg L-function / Asymptotic expansion / Mean square / Divisor problem / Voronoi's formula / Dirichlet L-function / Riemann zeta-function / 二重ガンマ関数 / Pisot数 / 平均値定理 / L関数 / Lerchゼータ関数 / Voronoiの公式 / 二乗平均 / 約数問題 / Voronoi公式 / Dirichlet L関数 / G一関数 / q一関数 / 超越測度 / G-関数 Less
  • Research Projects

    (18 results)
  • Research Products

    (94 results)
  • Co-Researchers

    (28 People)
  •  Multiple and weighted averaging of zeta and theta functions--their formulations and asymptotics--Principal Investigator

    • Principal Investigator
      Katsurada Masanori
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Multiple hypergeometric type generating functions for the values of Lerch zeta-functions--their formulation and analytic behaviour--Principal Investigator

    • Principal Investigator
      KATSURADA Masanori
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Investigation of the behaviours of zeta and theta functions from a viewpoint of the theory of multiple hypergeometric functionsPrincipal Investigator

    • Principal Investigator
      KATSURADA Masanori
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Behaviours of non-holomorphic Eisenstein series and the theory of q-hypergeometric functionsPrincipal Investigator

    • Principal Investigator
      KATSURADA Masanori
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Research of arithmetical properties for analytic functions satisfying a system of linear functional equations

    • Principal Investigator
      AMOU Masaaki
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  Behaviour of zeta and theta functions : their intrinsic linkagePrincipal Investigator

    • Principal Investigator
      KATSURADA Masanori
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  A Research on the Theory of Irrational Numbers for q-Functions

    • Principal Investigator
      AMOU Masaaki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  A Research on Linear Independence of Special Values of q-Functions

    • Principal Investigator
      AMOU Masaaki
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  Specific values of higher derivatives of zeta functions : zetaPrincipal Investigator

    • Principal Investigator
      KATSURADA Masanori
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Studies on the analytic behaviour of number theoretic L-functions

    • Principal Investigator
      MATSUMOTO Kohji
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Analytical research for transcendental numbers

    • Principal Investigator
      HATA Masayoshi
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  A Research on Arithmetical Properties of Special Values of q-Functions

    • Principal Investigator
      MASAAKI Amou
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gunma University
  •  Behaviours of multiple Zeta-functionsPrincipal Investigator

    • Principal Investigator
      KATSURADA Masanori
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio Universtiy
  •  ゼータ関数の高階導関数の漸近的挙動の解明とその応用Principal Investigator

    • Principal Investigator
      桂田 昌紀
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kagoshima University
  •  Behavior of Zeta and L-functions and their arithmetic meaning

    • Principal Investigator
      MATSUMOTO Kohji
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  ゼータ関数の母関数の解明と超幾何関数論Principal Investigator

    • Principal Investigator
      桂田 昌紀
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kagoshima University
  •  ゼータ関数の平均化とその漸近的挙動Principal Investigator

    • Principal Investigator
      桂田 昌紀
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kagoshima University
  •  超幾何関数の有理点における値の数論的性質の研究Principal Investigator

    • Principal Investigator
      桂田 昌紀
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Kagoshima University

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] Complete asymptotic expansions for the transformed Lerch zeta-functions via the Laplace-Mellin and Riemann-Liouville operators2021

    • Author(s)
      Masanori Katsurada
    • Journal Title

      ``Kokyuroku," R.I.M.S.

      Volume: No. 2203

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Asymptotic expansions for the multiple Laplace-Mellin transform of Lerch zeta-functions and applications2021

    • Author(s)
      Masanori Katsurada
    • Journal Title

      ``Kokyuoku," R.I.M.S.

      Volume: No. 2196

    • NAID

      120007165849

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Transformation formulae and asymptotic expansions for double non-holomrphic Eisenstein series of two complex variables (summarized verion)2020

    • Author(s)
      Masanori Katsurada and Takumi Noda
    • Journal Title

      in "K{\^o}ky{\^u}roku," R.I.M.S.

      Volume: --

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Asymptotic expansions associated with various zeta-functions2020

    • Author(s)
      KATSURADA, Masanori
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 84 Pages: 205-262

    • DOI

      10.2969/aspm/08410205

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Transformation formulae and asymptotic expansions for double non-holomorphic Eisenstein series of two complex variables2020

    • Author(s)
      KATSURADA, Masanori; NODA, Takumi
    • Journal Title

      "Kokyuroku," Research Institute for Mathematical Sciences, Kyoto University

      Volume: 2162

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Complete asymptotic expansions associated with various zeta-functions2020

    • Author(s)
      Masanori Katsurada
    • Journal Title

      Advanced Studies in Pure Mathematics 84, 2020: Various aspects of Multiple Zeta Functions

      Volume: 84

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Asymptotics for higher derivatives of the Lerch zeta-function: applications to the formulae of Kummer, Lerch and Gauss2019

    • Author(s)
      Masanori Katsurada
    • Journal Title

      in "K{\^o}ky{\^u}roku," R.I.M.S.

      Volume: No. 2031

    • NAID

      120006888072

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Asymptotic expansions associated with higher derivatives of the Lerch zeta-function: applications to the formulae of Kummer, Lerch and Gau{\ss}2019

    • Author(s)
      Masanori KATSURADA
    • Journal Title

      R.I.M.S. K{\^o}ky{\^u}roku

      Volume: ―

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Complete asymptotic expansions associated with various zeta-functions2019

    • Author(s)
      Masanori KATSURADA
    • Journal Title

      Proceedings of the Conference "Various Aspects of Multiple Zeta Functions"

      Volume: ―

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Asymptotic expansions for a class of generalized holomorphic Eisenstein series: applications to Ramanujan's formula for $\ze(2k+1)$ and Weierstra{\ss}' elliptic function2018

    • Author(s)
      Masanori Katsurada and Takumi Noda
    • Journal Title

      in ``K{\^o}ky{\^u}roku," R.I.M.S.

      Volume: 印刷中

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Complete asymptotic expansions for the transformed Lerch zeta-functions via the Laplace-Mellin and Riemann-Liouville operators (pre-annoucement)2018

    • Author(s)
      Masanori Katsurada
    • Journal Title

      in ``K{\^o}ky{\^u}roku," R.I.M.S.

      Volume: 印刷中

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Asymptotic expansions for a class of generalized holomorphic Eisenstein series: applications to Weierstrass' elliptic function and Ramanujan's formula for $\zeta(2k+1)$2018

    • Author(s)
      Masanori KATSURADA and Takumi NODA
    • Journal Title

      R.I.M.S. K{\^o}ky{\^u}roku

      Volume: No. 2092

    • Open Access
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Journal Article] Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables2017

    • Author(s)
      M. Katsurada and T. Noda
    • Journal Title

      the Ramanujan Journal

      Volume: 44 Issue: 2 Pages: 237280-237280

    • DOI

      10.1007/s11139-017-9922-5

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05078, KAKENHI-PROJECT-17K05182
  • [Journal Article] Complete asymptotic expansions for the transformed Lerch zeta-functions via the Laplace-Mellin and Riemann-Liouville operators (pre-announcement)2017

    • Author(s)
      Masanori KATSURADA
    • Journal Title

      in ``Kokyuroku", R.I.M.S.

      Volume: in press

    • NAID

      120007187470

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Journal Article] Shintani zeta-functions of several variables and Lauricella hypergeometric functions2017

    • Author(s)
      Masanori KATSURADA
    • Journal Title

      in ``Kokyuroku", R.I.M.S.

      Volume: in press

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Journal Article] Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville transforms of Lerch zeta-functions (pre-announcement version)2016

    • Author(s)
      Masanori KATSURADA
    • Journal Title

      in ``Kokyuroku", R.I.M.S.

      Volume: 1873

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions II2015

    • Author(s)
      Masanori Katsurada
    • Journal Title

      The Ramanujan Journal

      Volume: (掲載決定) Issue: 3 Pages: 403-437

    • DOI

      10.1007/s11139-014-9583-6

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23540025, KAKENHI-PROJECT-26400021
  • [Journal Article] Shintani zeta-functions of several variables and Lauricella hypergeometric functions2014

    • Author(s)
      M. Katsurada
    • Journal Title

      "Kokyuroku," R.I.M.S.

      Volume: in press

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Hypergeometric type generating functions of several variables associated with the Lerch zeta-function (summarized version) in "K{¥^o}ky{¥^u}roku2014

    • Author(s)
      Masanori Katsurada
    • Journal Title

      R.I.M.S

      Volume: No.1874 Pages: 161-173

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1874-18.pdf

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Asymptotic expansions for certain q-series, q-integrals, q-differentials and a formula of Ramanujan for specific values of ζ(s)2014

    • Author(s)
      M. Katsurada
    • Journal Title

      "Kokyuroku," R.I.M.S.

      Volume: in press

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Asymptotic expansions for certain $q$-series, $q$-integrals, $q$-differentials and a formula of ramanujan for specific values of $\zeta(2n+1)$2014

    • Author(s)
      Masanori Katsurada
    • Journal Title

      RIMS K{\^o}ky{\^u}roku

      Volume: 1898

    • Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Journal Article] Hypergeometric type generating functions of several variables associated with the Lerch zeta-function (summarized version)2014

    • Author(s)
      M. Katsurada
    • Journal Title

      "Kokyuroku," R.I.M.S.

      Volume: No. 1874

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions II2014

    • Author(s)
      M. Katsurada
    • Journal Title

      The Ramanujan Journal

      Volume: in press

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Complete asymptotic expansions for certain multiple $q$-integrals and $q$-differentials of Thomae-Jackson type2012

    • Author(s)
      Masanori KATSURADA
    • Journal Title

      Acta Arithmetica

      Volume: 152 Issue: 2 Pages: 109-13

    • DOI

      10.4064/aa152-2-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions II(summarized version) in K{¥^o}ky{¥^u}roku2012

    • Author(s)
      Masanori Katsurada
    • Journal Title

      R.I.M.S

      Volume: No.1806 Pages: 99-113

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1806-11.pdf

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions II (summarized version)2012

    • Author(s)
      Masanori KATSURADA
    • Journal Title

      RIMS K\^oKy\^uroku

      Volume: 1806

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Shintani zeta-functions of several variables and Lauricella hypergeometric functions in "Proceedings of Diophantine Analysis and Related Fields 2011"2011

    • Author(s)
      Masanori Katsurada
    • Journal Title

      A.I.P. Conference Proceedings

      Volume: No.1385 Pages: 58-72

    • DOI

      10.1063/1.3630041

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] On generalized Lipschitz formulae and applications II in "Proceedings of Diophantine Analysis and Related Fields 2011"2011

    • Author(s)
      Masanori Katsurada and Takumi Noda
    • Journal Title

      A.I.P. Conference Proceedings

      Volume: No.1385 Pages: 73-86

    • DOI

      10.1063/1.3630042

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Asymptotic expansions for certain multiple $q$-integrals and $q$-differentials of Thomae and Jackson type2010

    • Author(s)
      Masanori Katsurada
    • Journal Title

      Proceedings of Diophantine Analysis and Related Fields 2010(A.I.P. Press) (in press)

    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] On generalized Lipschitz formulae and applications2010

    • Author(s)
      Masanori Katsurada, Takumi Noda
    • Journal Title

      Proceedings of Diophantine Analysis and Related Fields 2010(A.I.P. Press) (in press)

    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series2009

    • Author(s)
      Katsurada, Masanori
    • Journal Title

      International Journal of Number Theory 5

      Pages: 1060-1088

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] Actions of Mass' operators on the asymptotic expansions of non-holomorphic Eisenstein series2009

    • Author(s)
      Katsurada, Masanori
    • Journal Title

      in "R.I.M.S.Kokyuroku," 1665

      Pages: 89-93

    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series2009

    • Author(s)
      Masanori Katsurada, Takumi Noda
    • Journal Title

      Int. J. Number Theory 5

      Pages: 1061-1088

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions2007

    • Author(s)
      Masanori Katsurada
    • Journal Title

      The Ramanujan Journal 14

      Pages: 249-275

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions2007

    • Author(s)
      Masanori Katsurada
    • Journal Title

      Ramanujan J 14

      Pages: 249-275

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] Asymptotic series associated with Epstein zeta-functions and their integral transforms2006

    • Author(s)
      M.Katsurada
    • Journal Title

      K^oky^uroku, R. I. M. S. No.1511

      Pages: 216-224

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Asymptotic series associated with Epstein zeta-functions2006

    • Author(s)
      M.katsurada
    • Journal Title

      Kokyuroku(R.I.M.S.) No. 1511

      Pages: 216-224

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Asymptotic series associated with Epstein zeta-functions and their integral transforms2006

    • Author(s)
      M.Katsurada
    • Journal Title

      in "Kokyuroku," R. I. M. S. No. 1511

      Pages: 118-123

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] An application of Mellin-Barnes type integrals to the mean square of Lerch zeta-functions II2005

    • Author(s)
      M.Katsurada
    • Journal Title

      Collectanea Mathematica 56

      Pages: 57-83

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] An application of Mellin-Barnes type integrals to the mean square of Lerch zeta-functions II2005

    • Author(s)
      M.Katsurada
    • Journal Title

      Collectanea Mathematica 56・1

      Pages: 57-83

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Irrationality results for values of generalized Tcshakaloff series II.2004

    • Author(s)
      Masaaki Amou, Masanori Katsurada
    • Journal Title

      J. Number Theory 104

      Pages: 132-155

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540006
  • [Journal Article] Irrationality results for values of generalized Tschakaloff series II2004

    • Author(s)
      Amou, M., Katsurada, M.
    • Journal Title

      Journal of Number Theory 104

      Pages: 132-153

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Irrationality results for values of generalized Tschakaloff series II2004

    • Author(s)
      M.Amou, M.Katsurada
    • Journal Title

      Journal of Number Theory 104

      Pages: 132-155

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Irrationality results for values of generalized Tschakaloff series II2004

    • Author(s)
      M.Amou, M.Katsurada
    • Journal Title

      J. Number Theory 104

      Pages: 132-155

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540006
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions

    • Author(s)
      M.Katsurada
    • Journal Title

      The Ramanujan Journal (to appear)

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Complete asymptotic expansions for the product averages of higher derivatives of Lerch zeta functions

    • Author(s)
      Masanori Katsurada
    • Journal Title

      R.I.M.S. K\^oky\^uroku (in press)

    • Data Source
      KAKENHI-PROJECT-19540049
  • [Journal Article] Shintani zeta-functions of several variables and Lauricella hypergeometric functions, in "K{¥^o}ky{¥^u}roku

    • Author(s)
      Masanori Katsurada
    • Journal Title

      R.I.M.S

      Volume: (掲載決定)

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Comolete asymptotic-expansions associated with Epstein zeta-function

    • Author(s)
      M.Katsurada
    • Journal Title

      The Ramanujan Journal (to appear)

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions

    • Author(s)
      M.Katsurada
    • Journal Title

      The Ramanujan Journal (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Asymptotic series associated with Epstein zeta-functions and their integral transforms

    • Author(s)
      Katsurada, M.
    • Journal Title

      in "R.I.M.S. Kokyuroku" to appear

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] $q$-series, $q$-integrals, $q$-differentials and a formula of Ramanujan for specific values of $¥zeta(s)$ in "K{¥^o}ky{¥^u}roku

    • Author(s)
      Masanori Katsurada
    • Journal Title

      R.I.M.S

      Volume: (掲載決定)

    • Data Source
      KAKENHI-PROJECT-23540025
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions,

    • Author(s)
      M.Katsurada
    • Journal Title

      The Ramanujan Journal (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Complete asymptotic expansions associated with Epstein zeta-functions

    • Author(s)
      Katsurada, M.
    • Journal Title

      The Ramanujan Journal to appear

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] Asymototic series associated with Epstein Zeta-functions and their integral transforms

    • Author(s)
      M.Katsurada
    • Journal Title

      Kokyuroku, R.I.M.S (to appear)

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Journal Article] An application of Mellin-Barnes type integrals to the mean square of rerch zeta-functions

    • Author(s)
      Katsurada, M.
    • Journal Title

      Collectanea Mathematica to appear

    • Data Source
      KAKENHI-PROJECT-16540038
  • [Presentation] Asymptotic expansions for the multiple Laplace-Mellin transforms and applications2020

    • Author(s)
      KATSURADA, Masanori
    • Organizer
      RIMS Workshop 2020 "Problems and Prospects in Analytic Number Theory"
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Presentation] Asymptotic expansions associated with a non-holomorphic Eisenstein series of two complex variables2019

    • Author(s)
      Masanori Katsurada
    • Organizer
      "Analytic Number Theory and Related Topics" at R.I.M.S., Kyoto University
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Presentation] Asymptotic expansions for a class of generalized holomorphic Eisenstein series: applications to Ramanujan's formula for $\zeta(2k+1)$, Weierstrass' elliptic and allied functions2018

    • Author(s)
      Masanori KATSURADA
    • Organizer
      大分鹿児島整数論研究集会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Presentation] Asymptotic expansions for higher derivatives of the Lerch zeta-function2018

    • Author(s)
      Masanori KATSURADA
    • Organizer
      Analytic Number Theory and Related Topics, R.I.M.S., Kyoto University
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Presentation] Asymptotic expansions for a class of generalized holomorphic Eisenstein series: applications to Weierstra{\ss}' elliptic function and Ramanujan's formula for $\zeta(2k+1)$2017

    • Author(s)
      Masanori Katsurada
    • Organizer
      Analytic Number Theory and Related Areas
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Presentation] Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Weierstrass' elliptic function and Ramanujan's formula for specific values of the Riemann zeta-function2017

    • Author(s)
      Masanori KATSURADA
    • Organizer
      Various Aspects of Multiple Zeta Functions--Confeence in Honor of Kohji Matsumoto's 60th Birthday
    • Place of Presentation
      名古屋大学多元数理科学研究科(名古屋市・千種区)
    • Year and Date
      2017-08-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Presentation] Asymptotic expansions for various zeta-functions: a survey2017

    • Author(s)
      Masanori Katsurada
    • Organizer
      ``Various Aspects of Multiple Zeta Functions"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05182
  • [Presentation] Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville transforms for Lerch zeta-fu nctions2016

    • Author(s)
      Masanori KATSURADA
    • Organizer
      Analytic Number Theory and Related Areas
    • Place of Presentation
      京都大学数理解析研究所(京都市・左京区)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Presentation] Asymptotic expansions for the laplace-Mellin and Riemann-Liouville transform of Lerch zeta-functions2015

    • Author(s)
      Masanori Katsurada
    • Organizer
      Analytic Number Theory and Related Areas
    • Place of Presentation
      Research Institute for Mathematical Sciences, Kyoto University, Kyoto City
    • Year and Date
      2015-11-05
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Presentation] Asymptotic aspects of (non)-hlomorphic Eisenstein series and applications2015

    • Author(s)
      Masanori Katsurada
    • Organizer
      2015大分整数論研究集会
    • Place of Presentation
      サテライトキャンパスおおいた,大分市
    • Year and Date
      2015-09-02
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Presentation] Asymptotic expansions for the Laplace-Mellin and Riemann-Liouville transforms of Lerch zeta-functions2015

    • Author(s)
      桂田 昌紀
    • Organizer
      Diopnatine Analysis and Related Fields 2015
    • Place of Presentation
      群馬大学・大学院・理工学府(桐生市)
    • Year and Date
      2015-03-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Presentation] Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables2014

    • Author(s)
      桂田 昌紀・野田 工
    • Organizer
      Analytic Number Theory--Distributionand Approximation of Arithmetic Objects
    • Place of Presentation
      京都大学・数理解析研究所(京都市)
    • Year and Date
      2014-10-31
    • Data Source
      KAKENHI-PROJECT-26400021
  • [Presentation] Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two variables2014

    • Author(s)
      Masanori Katsurada and Takumi Noda
    • Organizer
      Diophantine Analysis and Related Fields 2014
    • Place of Presentation
      University of Tsukuba, Tsukuba
    • Year and Date
      2014-03-06
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two variables2014

    • Author(s)
      Masanori Katsurada and Takumi Noda
    • Organizer
      日本数学会年会
    • Place of Presentation
      学習院大学理学部, 東京都
    • Year and Date
      2014-03-18
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions for certain multiple $q$-integrals and $q$-differentials of Thomae-Jackson type, Analytic Number Theory2013

    • Author(s)
      Masanori Katsurada
    • Organizer
      Arithmetic Properties of Transcendental functions and their Applications
    • Place of Presentation
      Research Institute for Mathematical Sciences, Kyoto University, Kyoto
    • Year and Date
      2013-11-07
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Complete asymptotic expansions for generalized Epstein zeta-functions2013

    • Author(s)
      Masanori Katsurada
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学理学研究科・数理解析研究所, 京都市
    • Year and Date
      2013-03-23
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions for certain multiple $q$-integrals and $q$-differentials of Thomae-Jackson type2012

    • Author(s)
      Masanori Katsurada
    • Organizer
      K.I.A.S. Workshop : $q$-series and Related Topics
    • Place of Presentation
      Hotel Riviera Haeundae : Busan
    • Year and Date
      2012-08-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Shintani zeta-functions of several variables and Lauricella hypergeometric functions II2012

    • Author(s)
      Masanori Katsurada
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      九州大学数理学研究院
    • Year and Date
      2012-09-18
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions of non-holomorphic Eisenstein series and their applications2012

    • Author(s)
      Masanori Katsurada
    • Organizer
      K.I.A.S. Workshop : $q$-series and Related Topics
    • Place of Presentation
      Hotel Riviera Haeundae : Busan
    • Year and Date
      2012-08-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions for generalized Epstein zeta-functions and applications2011

    • Author(s)
      Masanori Katsurada
    • Organizer
      Analytic Number Theory--related Multiple aspects of Arithmetic Fnctions
    • Place of Presentation
      Research Institute for Mathematical Sciences, Kyoto University
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions for generalized Epstein zeta-functions and applications, Analytic Number Theory2011

    • Author(s)
      Masanori Katsurada
    • Organizer
      Related Multiple Aspects of Arithmetic Functions
    • Place of Presentation
      Research Institute for Mathematical Sciences, Kyoto University, Kyoto
    • Year and Date
      2011-11-01
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions for certain multiple $q$-integrals and $q$-differentials of Thomae-Jackson type2010

    • Author(s)
      Masanori Katsurada
    • Organizer
      Diophantine Analysis and Related Fields, Seikei University
    • Place of Presentation
      Tokyo
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Asymptotic expansions for certain multiple q-integrals and q-differentials of Thomae-Jackson type2010

    • Author(s)
      Katsurada, Masanori
    • Organizer
      Diophantine Analysis and Related Fields 2010
    • Place of Presentation
      成蹊大学理工学部
    • Year and Date
      2010-03-05
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] 非正則Eisenstein級数の漸近展開における微分作用2010

    • Author(s)
      Masanori Katsurada, Takumi Noda
    • Organizer
      日本大学工学部学術研究報告会, 日本大学工学部
    • Place of Presentation
      郡山市
    • Year and Date
      2010-12-05
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] On generalized Lipschitz-type formulae and applications2010

    • Author(s)
      Masanori Katsurada, Takumi Noda
    • Organizer
      Diophantine Analysis and Related Fields
    • Place of Presentation
      Seikei University, Tokyo
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Asymptotic expansions for the mean square of higher derivatives of Lerch zeta-functions2009

    • Author(s)
      Katsurada, Masanori
    • Organizer
      Analytic Number Theory 2009
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-10-16
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Asymptotic expansions for the mean square of higher derivatives of Lerch zeta-functions2009

    • Author(s)
      Masanori Katsurada
    • Organizer
      Analytic Number Theory 2009, R.I.M. S
    • Place of Presentation
      Kyoto University, Kyoto
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series2008

    • Author(s)
      Masanori Katsurada, Takumi Noda
    • Organizer
      日本数学会, 代数学分科会, 東北大学理学研究科
    • Place of Presentation
      仙台市
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series2007

    • Author(s)
      Masanori Katsurada, Takumi Noda
    • Organizer
      Analytic Number Theory and Related Areas, R.I.M. S
    • Place of Presentation
      Kyoto University, Kyoto
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series2007

    • Author(s)
      Masanori Katsurada
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学大学院理学研究科
    • Year and Date
      2007-09-24
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series and applications2007

    • Author(s)
      Masanori Katsurada
    • Organizer
      Analytic Number Theory and Related Areas
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-18
    • Data Source
      KAKENHI-PROJECT-19540049
  • [Presentation] Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two variables

    • Author(s)
      M. Katsurada and T. Noda
    • Organizer
      Diophantine Analysis and Related Fields 2014
    • Place of Presentation
      Math. Inst., Univ. of Tsukuba (Tsukuba)
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions of non-holomorphic Eisenstein series and their applications

    • Author(s)
      Masanori KATSURADA
    • Organizer
      2012 KIAS Workshop: $Q$-series and Related Topics
    • Place of Presentation
      Hotel Rivera Haeundae, Busan, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Hypergeometric-type generating functions of several variables associaed with the Lerch zeta-function

    • Author(s)
      Masanori KATSURADA
    • Organizer
      Analytic Number Theory--Number Theory through Approximations and Asymptotics
    • Place of Presentation
      Resarch Institute for Mathematical Sciences, Kyoto University
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two variables

    • Author(s)
      M. Katsurada and T. Noda
    • Organizer
      日本数学会年会
    • Place of Presentation
      学習院大学理学部(東京)
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions for certain multiple q-integrals and q-differentials of Thomae-Jackson type

    • Author(s)
      M. Katsurada
    • Organizer
      Analytic Number Theory--Arithmetic Properties of Transcendental Functions and their Applications--
    • Place of Presentation
      R.I.M.S., Kyoto University (Kyoto)
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Shintani zeta-functions of several variables and Lauricella hypergeometric functions II

    • Author(s)
      Masanori KATSURADA
    • Organizer
      2012年日本数学会秋季総合分科会
    • Place of Presentation
      九州大学大学院数理学研究院
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Asymptotic expansions for certain multiple $q$-integrals and $q$-differentials of Thomae-Jackson type and their applications

    • Author(s)
      Masanori KATSURADA
    • Organizer
      2012 KiAS Workshop: $q$-series and Related Topics
    • Place of Presentation
      Hotel Rivera Haeundae, Busan, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540025
  • [Presentation] Complete asymptotic expansions for generalized Epstein zeta-functions

    • Author(s)
      Masanori KATSURADA
    • Organizer
      2013年日本数学会年会
    • Place of Presentation
      京都大学吉田キャンパス
    • Data Source
      KAKENHI-PROJECT-23540025
  • 1.  AMOU Masaaki (60201901)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 2 results
  • 2.  SAITO Saburo (10110397)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  AMANO Kazuo (90137795)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  NODA Takumi (10350034)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 13 results
  • 5.  IKEHATA Masaru (90202910)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  TOSE Nobayuki (00183492)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  MATSUMOTO Kohji (60192754)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  TANIGAWA Yoshio (50109261)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  KITAOKA Yoshiyuki (40022686)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  AKIYAMA Shigeki (60212445)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  KIUCHI Isao (30271076)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  HIKARI Michitaka (30056296)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  NISHIOKA Kumiko (80144632)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  SHIOKAWA Iekata (00015835)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  WATABE Mutsuo (30080493)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  SATO Hisashi (60008513)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  ITO Hiroshi (30168372)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  NAKAMURA Gen (50118535)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  HATA Masayoshi (40156336)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  NAGATA Makoto (30293971)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  KONO Norio (90028134)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  SAITO Hiroshi (20025464)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  TANUMA Kazumi (60217156)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  金光 滋 (60117091)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  金銅 誠之 (50186847)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  櫻川 貴司 (60196136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  日置 尋久 (70293842)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  浅野 潔 (90026774)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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