KATSURADA Masanori 桂田昌紀

… Alternative Names

Researcher Number	90224485
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Affiliation (Current)	2021: 慶應義塾大学, 経済学部(日吉), 教授
Affiliation (based on the past Project Information) *help	2016 – 2019: 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
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 / zeta-function / テータ関数 / L関数 / 超幾何関数 / モノドロミ理論 / 特殊値 / asymptotic expansion / ゼータ函数 … More Except Principal Investigator 1次独立性 / q-関数 / 無理数 / 無理数度 / Linear Independence / パデ近似 / Riemannゼータ関数 / 漸近展開 / Rankin-Selberg L関数 / universality / ゼータ関数 / Universality / q-差分方程式 / q-超幾何級数 / シドロフスキの補題 / Irrationality / q-Difference Equation / Shidlovskii's Lemma / Pade approximation / G-関数 / 超越測度 / q一関数 / G一関数 / Dirichlet L関数 / Voronoi公式 / 約数問題 / 二乗平均 / Voronoiの公式 / Lerchゼータ関数 / L関数 / 平均値定理 / Pisot数 / 二重ガンマ関数 / Riemann zeta-function / Dirichlet L-function / Voronoi's formula / Divisor problem / Mean square / Asymptotic expansion / Rankin-Selberg L-function / 無理性 / 近似測度 / 超幾何級数 / Approximation Measure / q-Hypergeometric Series / 多重ゼータ関数 / Euler-Zagier和 / 解析接続 / Hurwitzゼータ関数 / Ramanujan公式 / モジュラー関係式 / 普遍性定理 / 保型L関数 / Ramanujan formula / 近似関数等式 / Mellin-Barnes formula / 多重ガンマ関数 / 普遍性 / 実二次体 / Multiple zeta-function / Euler-Zagier sum / Analytic continuation / Hurwitx zeta-function / Ramanujan's formula / Modular relation / Automorphic L-function / 一次独立 / 連分数 / 超越数 / 超幾何関数 / 多重対数関数 / Linear independence / Transcendence / Roth-Ridont theorem / Polylogarithms / Fredholm series / Metric Property / Trans cendence / Bernoulli numbers / Saddle points / Diophantine inequality / Pade近似 / モノドロミー理論 / G関数 / 多項式 / 近似 / 9-関数 / irrationality measure / linear independence / continued fraction / transcendency / hypergeometric function / polylogarithm / zeta function / 有理性判定条件 / テータ級数 / 線形回帰数列 / q- Function / q-Hypergeometric Sereis / Irrationality Measure / Rationality Criterion / Theta Series / Linear Recurrence Sequence / q-Function / Irrational Number Less

ゼータ関数・テータ関数の加重・多重平均化―定式化と挙動解明―Principal InvestigatorOngoing
- Principal Investigator
  
  桂田昌紀
- Project Period (FY)
  2017 – 2020
- 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

[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] 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
- 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 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
- 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)
- DOI
  10.1007/s11139-014-9583-6
- Peer Reviewed / Acknowledgement Compliant / 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 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 for certain multiple q-integrals and q-differentials of Thomae-Jackson type2012
- Author(s)
  Masanori Katsurada
- Journal Title
  
  Acta Arithmetica
  
  Volume: 152 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)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 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

KATSURADA Masanori 桂田 昌紀

桂田 昌紀 カツラダ マサノリ

Research Projects

Research Products

Co-Researchers

ゼータ関数・テータ関数の加重・多重平均化―定式化と挙動解明―Principal InvestigatorOngoing

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Multiple hypergeometric type generating functions for the values of Lerch zeta-functions--their formulation and analytic behaviour--Principal Investigator

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Investigation of the behaviours of zeta and theta functions from a viewpoint of the theory of multiple hypergeometric functionsPrincipal Investigator

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Behaviours of non-holomorphic Eisenstein series and the theory of q-hypergeometric functionsPrincipal Investigator

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Research of arithmetical properties for analytic functions satisfying a system of linear functional equations

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Behaviour of zeta and theta functions : their intrinsic linkagePrincipal Investigator

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A Research on the Theory of Irrational Numbers for q-Functions

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A Research on Linear Independence of Special Values of q-Functions

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Specific values of higher derivatives of zeta functions : zetaPrincipal Investigator

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Studies on the analytic behaviour of number theoretic L-functions

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Analytical research for transcendental numbers

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A Research on Arithmetical Properties of Special Values of q-Functions

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Behaviours of multiple Zeta-functionsPrincipal Investigator

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KATSURADA Masanori 桂田昌紀

桂田昌紀カツラダマサノリ