Hamahata Yoshinori 浜畑芳紀

… Alternative Names

Researcher Number	90260645
Other IDs
External Links
Affiliation (Current)	2020: 岡山理科大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2015 – 2018: 岡山理科大学, 理学部, 教授 2010: Tokyo University of Science, 大学院・数理科学研究科, 特任研究員 2010: 立命館大学, 教授 2008 – 2009: Tokyo University of Science, 理工学部, 教授 2007: Tokyo University of Science, Faculfy of Sscience and Engineering, Associate Professor … More
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / Geometry / 解析学
Keywords	Principal Investigator 保型形式 / Dedekind和 / モジュラー多様体 / アーベル多様体 / 小平次元 / 代数曲面 / コホモロジー表現 / 数論 / ベルヌーイ数 / ゼータ関数 … More Except Principal Investigator 保型形式 / 球関数 / ヘッケ環 / modular forms / automorphic forms / spherical functions / 有限Chevalley群 / 複素鏡映群 / 表現論 / Ariki-Koike algebra / Green関数 / Hall-Littlewood関数 / 指標層 / Shintani descent / Green currents / modular cycle / Automorphic forms / Spherical functions / automorphic forms,球関数 / spherical functions, Whittaker関数 / Whittaker functions,モジュラー多様体 / modular varieties,不連続群 / discrete subgroups / モジュラー形式 / 級関数 / 行列係数 / ホッヂ構造 / モジュライ空間 / L-関数 / Picardモジュラー形式 / moduli spaces / L-functions / spherical functions on Lie groups / 射影不変量 / 超幾何微分方程式 / 正則グラフ / パンルベ系 / 球対称性 / 結び目解消数 / グレプナ基底 / 変曲点 / アファイン極小性 / パンルベ方程式 / モジュラー曲面 / ロ-加群 / 球対称解 / projective invariant / hypergeometric system / regular graph / Painleve system / radial solution / unknotting number / Groebner basis / Variational Method / Discretization / Harmonic Maps / 変分法 / 差分法 / 調和写像 / Hecke環 / Schur-Weylの相互律 / 複数鏡映群 / Frobenius formula / 代数群の表現論 / Kazhdan-Luszfig basis / canonical basis / 長さ関数 / 巡回Hecke環 / Character table / finite Cheralley group / Complex reflection group / representation theory / Ariki-Koike algebras / Hecke / Green / Hall-Littlewood / Schur-Weyl reciprocity / Lusztig予想 / 特殊線形群 / 既約指標 / 概指標 / 対称空間 / 代数群 / Macdonald関数 / 一般Green関数 / graded Hecke algebra / Luszfig's conjecture / special linear group / irreducible character / almost character / character sheaf / symmetric space / Whittaker関数 / modular cycles / locally symmetric spaces / Green functions / Automorhic forms / Whittaker functions Less

Dedekind sums in positive characteristic and their applicationsPrincipal Investigator
- Principal Investigator
  
  Hamahata Yoshinori
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Okayama University of Science
Study of modular varieties and modular formsPrincipal Investigator
- Principal Investigator
  
  HAMAHATA Yoshinori
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Study of modular forms and arithmefic variefiesStudy of modular forms andPrincipal Investigator
- Principal Investigator
  
  HAMAHTA Yoshiori
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
General study of modular forms and arithmetic varietiesPrincipal Investigator
- Principal Investigator
  
  HAMAHATA Yoshinori
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
数論的多様体の不変量Principal Investigator
- Principal Investigator
  
  浜畑芳紀
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Constructive geometry of arithmetic quotients of symmetric spaces
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Representation theory of algebraic groups, Hecke algebras and complex reflection groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
  Tokyo University of Science
射影平面のGalois被覆の双有理不変量とコホモロジー表現Principal Investigator
- Principal Investigator
  
  浜畑芳紀
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Representation theory of finite algebraic groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  SCIENCE UNIV.OF TOKYO
Research of Nonlinear Partial Differential Equations Using Variational Methods and Time-discretization Schemes (1999)
- Principal Investigator
  
  TACHIKAWA Atsushi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Science University of Tokyo
保型形式に付随する特殊関数の研究
- Principal Investigator
  
  山崎正
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
保型形式のL関数の解析的研究
- Principal Investigator
  
  山崎正
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
モジュラー多様体の数論的研究Principal Investigator
- Principal Investigator
  
  浜畑芳紀
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
On canonically induced geometric structures on submaniflds and the equivalence problem
- Principal Investigator
  
  SASAKI T
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kobe University

All 2018 2017 2016 2015 2012 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation Book

[Book] Geometry and analysis of automorphic forms of several varaibles2012
- Author(s)
  Y. Hamahata, T. Ichikawa, A. Murase and T. Sugano
- Publisher
  World Sceintific Publisjing Co. Pte. Ltd.
- Data Source
  KAKENHI-PROJECT-19204001
[Book] 楕円曲線と保型形式2006
- Author(s)
  N.コブリッツ著, 上田・浜畑訳
- Total Pages
  372
- Publisher
  シュプリンガー・ジャパン
- Data Source
  KAKENHI-PROJECT-18540050
[Journal Article] Dedekind sums and the transformation formula in finite fields2018
- Author(s)
  Yoshinori Hamahata
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 49 Pages: 49-61
- DOI
  10.1016/j.ffa.2017.09.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04801
[Journal Article] Vector-valued modular forms on finite upper half planes2018
- Author(s)
  Yoshinori Hamahata
- Journal Title
  
  Lecture Notes in Comupter Sciences
  
  Volume: 11321 Pages: 175-187
- DOI
  10.1007/978-3-030-05153-2_9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04801
[Journal Article] Generalized Dedekind sums and the transformation formula in finite fields2018
- Author(s)
  Yoshinori Hamahata
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: ４９ Pages: 49-61
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04801
[Journal Article] Chowla's theorem over function fields2018
- Author(s)
  Yoshinori Hamahata
- Journal Title
  
  International Journal of Number Theory
  
  Volume: 14 Pages: 1689-1698
- DOI
  10.1142/s1793042118501026
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04801
[Journal Article] Generalized Dedekind sums and transformation formulae in function fields2017
- Author(s)
  Yoshinori Hamahata
- Journal Title
  
  Journal of Number Theory
  
  Volume: 173
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04801
[Journal Article] Fractional parts of Dedekind sums in function fields2016
- Author(s)
  Yoshinori Hamahata
- Journal Title
  
  Monatsh Math
  
  Volume: ?
- DOI
  10.1007/s00605-015-0781-0
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04801
[Journal Article] Dedekind sums and the transformation formula in function fields2016
- Author(s)
  Yoshinori Hamahata
- Journal Title
  
  International Journal of Number Theory
  
  Volume: ?
- DOI
  10.1142/s1793042116501232
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04801
[Journal Article] Polylogarithms and poly-Bernoulli polynomials2011
- Author(s)
  A.Bayad, 浜畑芳紀
- Journal Title
  
  Kyushu Journal of Mathematics 65
  
  Pages: 15-24
- NAID
  130000884042
- Data Source
  KAKENHI-PROJECT-20540026
[Journal Article] Arakawa-Kaneko L-functions and generalized Bernoulli polynomials2011
- Author(s)
  A.Bayad, 浜畑芳紀
- Journal Title
  
  Journal of Number Theory 131
  
  Pages: 1020-1036
- Data Source
  KAKENHI-PROJECT-20540026
[Journal Article] Polylogarithms and poly-Bernoulli polynomials2011
- Author(s)
  A.Bayad, Y.Hamahata
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 65 Pages: 15-24
- NAID
  130000884042
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540026
[Journal Article] Dedekind sums in finite characteristic2008
- Author(s)
  浜畑芳紀
- Journal Title
  
  Proceedings of the Japan Academy 84
  
  Pages: 89-92
- NAID
  40016292873
- Data Source
  KAKENHI-PROJECT-20540026
[Journal Article] Dedekind sums for finite fields2008
- Author(s)
  Y. Hamahata
- Journal Title
  
  AIP Conference Proceedings 976
  
  Pages: 96-102
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540050
[Journal Article] Recurrence formulae for multi-poly-Bernoulli numbers2007
- Author(s)
  Y. Hamahata, H. Masubuchi
- Journal Title
  
  INTEGERS 7
  
  Pages: 15-15
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540050
[Journal Article] Special multi-poly-Bernoulli numbers2007
- Author(s)
  Y.Hamahata, H.Masubuchi
- Journal Title
  
  Journal of Integer Sequences 10
  
  Pages: 6-6
- Data Source
  KAKENHI-PROJECT-18540050
[Journal Article] A note on modular forms on finite upper half planes2007
- Author(s)
  Y. Hamahata
- Journal Title
  
  Lecture Notes in Computer Science 4547
  
  Pages: 18-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540050
[Journal Article] Hilbert modular曲面上の曲線の交差数と保型形式2006
- Author(s)
  浜畑芳紀
- Journal Title
  
  第13回整数論サマースクール報告集
  
  Pages: 177-188
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Intersection numbers of curves on Hilbert modular surfaces and modular forms2006
- Author(s)
  Y.Hamahata
- Journal Title
  
  Proc.of number theory summer school 13
  
  Pages: 177-187
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Hilbert modular曲面状の曲線の交差数と保型形式2006
- Author(s)
  浜畑芳紀
- Journal Title
  
  整数論サマースクール報告集 13
  
  Pages: 177-187
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Higher dimensional Dedekind sums in function fields
- Author(s)
  A.Bayad, 浜畑芳紀
- Journal Title
  
  Acta Arithmetica
- Data Source
  KAKENHI-PROJECT-20540026
[Journal Article] Higher dimensional Dedekind sums in finite fields
- Author(s)
  A.Bayad, 浜畑芳紀
- Journal Title
  
  Finite Fields and Their Applications
- Data Source
  KAKENHI-PROJECT-20540026
[Journal Article] Multiple polylogarithms and multi-poly-Bernoulli polynomials
- Author(s)
  A.Bayad, 浜畑芳紀
- Journal Title
  
  Functiones et Approximatio Commentarii Mathematici
- Data Source
  KAKENHI-PROJECT-20540026
[Presentation] Vector-valued modular forms on finite upper half planes2018
- Author(s)
  Yoshinori Hamahata
- Organizer
  International Workshop on the Arithmetic of Finite Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04801
[Presentation] The transformations of a series in function fields2015
- Author(s)
  Yoshinori Hamahata
- Organizer
  Pure and Applied Number Theory Summer School
- Place of Presentation
  大韓民国 NIMS
- Year and Date
  2015-07-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04801
[Presentation] The transformations of a series in function fields2015
- Author(s)
  Yoshinori Hamahata
- Organizer
  解析数論研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-11-05
- Data Source
  KAKENHI-PROJECT-15K04801
[Presentation] The transformations of a series in function fields2015
- Author(s)
  Yoshinori Hamahata
- Organizer
  29th Journees Arithmetiques
- Place of Presentation
  ハンガリーデブレッツェン大学
- Year and Date
  2015-07-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04801
[Presentation] Arakawa-Kaneko L-functions and generalized poly-Bernoulli polynomials2010
- Author(s)
  浜畑芳紀
- Organizer
  解析数論研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-10-07
- Data Source
  KAKENHI-PROJECT-20540026
[Presentation] Arakawa-Kaneko L-functions and generalized Bernoulli polynomials2010
- Author(s)
  A.Bayad, 浜畑芳紀
- Organizer
  解析数論研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-10-07
- Data Source
  KAKENHI-PROJECT-20540026
[Presentation] Reciprocity law of Dedekind sums in characteristic p2009
- Author(s)
  浜畑芳紀
- Organizer
  Workshop "Dedekind sums in Geometry, Topology, and Arithmetic"
- Place of Presentation
  バンフ国際研究ステーション(カナダ)
- Year and Date
  2009-10-13
- Data Source
  KAKENHI-PROJECT-20540026
[Presentation] Reciprocity law of Dedekind sums in characteristic p2008
- Author(s)
  浜畑芳紀
- Organizer
  解析数論研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-10-27
- Data Source
  KAKENHI-PROJECT-20540026
[Presentation] The Kodaira dimernsion of subveriefies of Siegel modular variefies2008
- Author(s)
  Y., Hamahata
- Organizer
  RIMS Workshop Aufomorphic Represenfafions, Aufomorphic Form, L-functions and Relafed Topics
- Place of Presentation
  RIMS
- Year and Date
  2008-07-23
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540050
[Presentation] The Kodaira dimension of subvarieties of Siegel modular varieties2008
- Author(s)
  浜畑芳紀
- Organizer
  「保型表現・保型形式とL関数の周辺」研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-01-23
- Data Source
  KAKENHI-PROJECT-18540050

1. AGOH Takashi (60112893)

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2. HOSOH Toshio (30130339)

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Hamahata Yoshinori 浜畑 芳紀

HAMAHATA Yoshinori 浜畑 芳紀

Research Projects

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Co-Researchers

Dedekind sums in positive characteristic and their applicationsPrincipal Investigator

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Study of modular varieties and modular formsPrincipal Investigator

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Study of modular forms and arithmefic variefiesStudy of modular forms andPrincipal Investigator

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General study of modular forms and arithmetic varietiesPrincipal Investigator

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数論的多様体の不変量Principal Investigator

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射影平面のGalois被覆の双有理不変量とコホモロジー表現Principal Investigator

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モジュラー多様体の数論的研究Principal Investigator

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Hamahata Yoshinori 浜畑芳紀

HAMAHATA Yoshinori 浜畑芳紀