• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Shiga Hironori  志賀 弘典

ORCIDConnect your ORCID iD *help
… Alternative Names

志賀 弘典  シガ ヒロノリ

SIGA Hironori  志賀 弘典

滋賀 弘典  シガ ヒロノリ

Less
Researcher Number 90009605
Other IDs
External Links
Affiliation (Current) 2022: 千葉大学, 大学院理学研究院, 名誉教授
Affiliation (based on the past Project Information) *help 2019 – 2021: 千葉大学, 大学院理学研究院, 名誉教授
2017: 千葉大学, 大学院理学研究院, 名誉教授
2017: 千葉大学, 理学(系)研究科(研究院), 名誉教授
2016: 千葉大学, 大学院理学研究科, 名誉教授
2015: 千葉大学, 理学(系)研究科(研究院), 名誉教授 … More
2013: 千葉大学, 理学(系)研究科(研究院), 名誉教授
2012: 千葉大学, 大学院・理学研究科, 名誉教授
2012: 千葉大学, 大学院理学(系)研究科(研究院), 名誉教授
2011: 千葉大学, 理学(系)研究科(研究院), 名誉教授
2009 – 2010: Waseda University, 理工学術院, 教授
2007 – 2008: Chiba University, Graduate school of Science, Professor
2006: 千葉大学, 大学院自然科学研究科, 教授
2001 – 2005: Graduate School of Science and Technology at Chiba University, Professor, 大学院・自然科学研究科, 教授
2000 – 2001: 千葉大学, 自然科学研究科, 教授
1994 – 1996: 千葉大学, 理学部, 教授
1993: 千葉大学, 理学部, 助教授
1991: 千葉大学, 理学部, 助教授
1986 – 1989: 千葉大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Algebra / Algebra / Basic analysis / Basic Section 11010:Algebra-related
Except Principal Investigator
代数学・幾何学 / 解析学 / Algebra
Keywords
Principal Investigator
保型形式 / 超幾何微分方程式 / 虚数乗法 / アーベル多様体 / 超幾何函数 / 周期写像 / K3 surface / K3 曲面 / 保型関数 / Modular form … More / 周期積分 / 複素多様体 / Hypergeometric Function / Arithmetic Geometric Mean / 志村多様体 / period map / modular form / K3曲面 / モノドロミー / 格子 / Abelian variety / シュワルツ写像 / テータ関数 / complex multiplication / テータ函数 / Modular function / Period / Elliptic Curve / Abelian Variety / Complex Multiplication / 多様体 / 表現 / ファジー / 自己相似性 / 有限群 / モジュラー函数 / ア-べル多様体 / 保型函数 / 座数乗法 / 超越数 / 代数多様体 / コード / 頂点作用素代数 / ヘッケ環 / 超幾何関数 / Picard modular form / Shimura variety / Abelin variety / Theta Function / Modular Form / Picard modular function / Arithmetic-Geometric Mean / Schwarz Map / アーベル曲面 / カラビヤウ曲面 / 保型写像 / Calabi-Yau manifold / hypergeometric function / 多変数保型函数 / モデュライ / モジュライ / 分岐理論 / ムーンシャイン / ホロノミックシステム / ミラ対称性 / Modular function of several variables / Holonomic system / Hypergeometric Differrential Equation / Bounded symmetric domain / ミラー対称性 / 三角群 / フックス型微分方程式 / モノドロミー群 / アンドレ、オールト予想 / ピカール曲線 / 数論的不連続群 / 符号理論 / 暗号システム / 符号 / Schwarz function / Automorphic form / Hypergeometric Differential Equation / Mirror Symmetry / monodromy / triangle group / 算術幾何平均 / 多変数保型形式 / 多変数超幾何函数 / アーベル多様体の虚数乗法 / 周期 / Schwarz map / Period Map / Picard Modular form / Complex multiplication / 虚数乗法論 / 周期微分方程式 / modular forms / K3 surfaces / hypergeometric equations / hypergeometric equation / modular function / 多変数保形関数 … More
Except Principal Investigator
群環 / 差分方程式 / 有限群 / P-ブロック / 葉層リ-マン多様体 / リ-マン・ゼ-タ関数 / 楕円積分 / 等角写像 / 値分布 / リーマン面 / クライン群 / タイヒミュラー空間 / 複素力学系 / ポテンシャル / Bergman核 / 超幾何関数 / テータ関数 / 算術幾何平均 / 局所系係数(コ)ホモロジー群 / モノドロミー群 / パッフ形式 / ねじれ(コ)ホモロジー群 / ねじれ(コ)ホモロジー群 / 交点形式 / 平均反復 / 双曲幾何学 / 分離拡大 / H-分離拡大 / 葉層構造 / リーマン構造 / 複素構造 / 調和関数 / モジュラー空間 / ヒルベルト空間 / ラプラス・ベルトラミー演算子 / 錐体と円柱 / フラグマン-リンデレ-フ型の定理 / 最小調和優関数 / ディリクレ問題 / アインスタインーケェラ-計量 / ラプラスーベルトラミー演算子 / モジュラ-表現 / ブラウァ-対応 / II_1型因子環 / フラグマンーリンデレ-フ型の定理 / 最小調優関数 / デイリクレ問題 / アインスタインーケェ-ラ-計量 / ラプラスーベルトラミ-演算子 / II型因子環 / ポテンシヤル論 / 劣調和関数 / 境界値問題 / ツェ-タ-関数 / アイゼンシュタイン級数 / システム理論 / least harmonic majorant / Dirichlet Problem / Einstein-Kahler metric / Bogomolov-Gieseker type inequality / Chern class / Sylow p-subgroup / p-block of a finite Group / 01Theorem of Phragmen-Lindelof type Less
  • Research Projects

    (19 results)
  • Research Products

    (87 results)
  • Co-Researchers

    (29 People)
  •  K3 modular functions and hypergeometric period differential equationsPrincipal Investigator

    • Principal Investigator
      志賀 弘典
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Chiba University
  •  Study on K3 modular forms derived from hypergeometric systemsPrincipal Investigator

    • Principal Investigator
      Shiga Hironori
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  Arithmetic aspects of Calabi-Yau surfaces and the hypergeometric systemPrincipal Investigator

    • Principal Investigator
      SHIGA Hironori
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  Geometric study of special functions

    • Principal Investigator
      MATSUMOTO Keiji
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Arithmetic relations between modular forms and hypergeometric functions in several variablesPrincipal Investigator

    • Principal Investigator
      SIGA Hironori
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  Arithmetic research of hypergeometric differential equation and its Schwarz mapPrincipal Investigator

    • Principal Investigator
      SHIGA Hironori
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Chiba University
  •  Studies on the hypergeometric diffeential equations considering the application for the coding theoryPrincipal Investigator

    • Principal Investigator
      SHIGA Hironori
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Chiba University
  •  Study on the K3 modular function and its arithmetic aspectsPrincipal Investigator

    • Principal Investigator
      SHIGA Hironori
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      CHIBA UNIVERSITY
  •  多変数保型形式Principal Investigator

    • Principal Investigator
      志賀 弘典
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  代数曲面から導れる可積分系Principal Investigator

    • Principal Investigator
      志賀 弘典
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Chiba University
  •  K3曲面の族から導かれる可積分系Principal Investigator

    • Principal Investigator
      志賀 弘典
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  複素解析学とポテンシャル論の総合的研究

    • Principal Investigator
      前田 文之
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Hiroshima University
  •  周期写像の代数的および超越的性質の研究Principal Investigator

    • Principal Investigator
      志賀 弘典
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  PicardーFuchs方程式の数論的幾何学的性質の研究Principal Investigator

    • Principal Investigator
      志賀 弘典
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  群と環の表現における代数的構造と幾何的構造

    • Principal Investigator
      KOSHITANI Sigeo
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  Potential Theory and its Applications

    • Principal Investigator
      YOSHIDA Hidenobu
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  多様体上の代数的構造と解析的構造

    • Principal Investigator
      高木 亮一
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University
  •  代数多様体と周期微分方程式Principal Investigator

    • Principal Investigator
      滋賀 弘典
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Chiba University
  •  環および余多元環の拡大理論

    • Principal Investigator
      平田 和彦
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Chiba University

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2011 2010 2009 2008 2007 2006 2005 2004

All Journal Article Presentation Book

  • [Book] 数学好きの人のためのブックガイド2020

    • Author(s)
      志賀弘典(分担執筆)
    • Total Pages
      7
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Book] 保型関数2017

    • Author(s)
      志賀弘典
    • Total Pages
      273
    • Publisher
      共立出版
    • ISBN
      9784320112049
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Book] 数学語圏2009

    • Author(s)
      志賀弘典
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Book] 15週で学ぶ複素関数論2008

    • Author(s)
      志賀弘典
    • Total Pages
      188
    • Publisher
      数学書房
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Book] 15週で学ぶ複素関数論(増補改訂版)2008

    • Author(s)
      志賀弘典
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Book] 15週で学ぶ複素関数論2008

    • Author(s)
      志賀 弘典
    • Total Pages
      188
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Book] 数学の世界2008

    • Author(s)
      志賀弘典
    • Total Pages
      210
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Book] 数学の視界2008

    • Author(s)
      志賀弘典
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Book] 15週で学ぶ複素関数論2006

    • Author(s)
      志賀弘典
    • Total Pages
      164
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Geometric Interpretation of Hermitian Modular Forms via Burkhardt Invariants2022

    • Author(s)
      A. Nagano and H. Shiga
    • Journal Title

      Transformation Groups

      Volume: Published on line

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] On Kummer-like surfaces attached to singularity and modular forms2022

    • Author(s)
      A. Nagano and H. Shiga
    • Journal Title

      Mathematische Nachrichten

      Volume: to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] 途上国での数学講義/ パキスタンとルワンダでの滞在を回顧しつつ2021

    • Author(s)
      志賀弘典
    • Journal Title

      数学セミナー 60(4) 50 - 54, 2021年4月

      Volume: 60 Pages: 50-54

    • NAID

      40022503911

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] 途上国での数学講義/パキスタンとルワンダでの講義を回顧しつつ2021

    • Author(s)
      志賀弘典
    • Journal Title

      数学セミナー

      Volume: 60-10

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] 楕円積分と楕円函数2021

    • Author(s)
      志賀弘典
    • Journal Title

      数学セミナー

      Volume: 60 -4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] 管見的 -- 保型形式入門2021

    • Author(s)
      志賀弘典
    • Journal Title

      数理科学

      Volume: 692

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] 管見的 -- 保型形式入門2021

    • Author(s)
      志賀弘典
    • Journal Title

      数理科学 59(2) 15 - 23, 2021年2月

      Volume: 59 Pages: 15-23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] An explicit Shimura canonical model for the quaternion algebra of discriminant 62020

    • Author(s)
      Hironori Shiga
    • Journal Title

      RIMS Kokyuroku Bessatsu B77 127 - 140, 2020年

      Volume: 77 Pages: 127-140

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] An explicit Shimura canonical model for the quaternion algebra of discriminant 62020

    • Author(s)
      Hironori Shiga
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B77

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic2019

    • Author(s)
      Hironori Shiga
    • Journal Title

      J. Number THeory

      Volume: 201

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Journal Article] The Shimura canonical model for a quaternion algebra of discriminant 6 via the hypergeometric modular function2018

    • Author(s)
      H. Shiga
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Journal Article] One visualization of Shimura's complex multiplication theorem via hypergeometric modular functions2018

    • Author(s)
      A. Nagano, H. Shiga
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Journal Article] To the Hilbert class field from the hypergeometric modular function2016

    • Author(s)
      A. Nagano and H. Shiga
    • Journal Title

      Journal of Number Theory

      Volume: 165

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Journal Article] To the Hilbert class field from the hypergeometric modular function2016

    • Author(s)
      A. Nagano and Shiga,H.
    • Journal Title

      J. Number Theory,

      Volume: 165 Pages: 408-430

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Journal Article] Modular maps for the family of abelian surfaces via K3 surfaces2014

    • Author(s)
      Nagano and Shiga, H
    • Journal Title

      Mathematische Nachrichten

      Volume: (掲載が確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] Modular maps for the family of abelian surfaces via K3 surfaces2014

    • Author(s)
      A. Nagano and Shiga,H.
    • Journal Title

      Mathematische Nachrichten

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] K3曲面族を用いたAbel曲面族の明示的モジュラー写像2013

    • Author(s)
      Shiga, H
    • Journal Title

      数理研講究録

      Volume: no.1871 Pages: 189-202

    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] 超幾何的K3モジュラー函数2013

    • Author(s)
      Shiga, H
    • Journal Title

      第11回 Oka Symposium 報告集

      Pages: 115-147

    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms2011

    • Author(s)
      Petkova M., Shiga H.
    • Journal Title

      Arch.der Math. 96

      Pages: 335-348

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] A Jacobi type formula for a family of hyperelliptic curves of genus 3 with automorphism of order 42011

    • Author(s)
      Shiga H.
    • Journal Title

      Kyushu J.Math. 65

      Pages: 169-177

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] A new interpretation of the Shimura curve etc.2011

    • Author(s)
      M. Petkova and H. Shiga
    • Journal Title

      Archiv der Mathematik

      Volume: 96

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] A Jacobi type formula for a family of hyperelliptic curves of genus 3 with automorphism of order 42011

    • Author(s)
      H. Shiga
    • Journal Title

      Kyushu J. Math

      Volume: vol.65 Pages: 169-177

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] A Jacobi type formula etc.2011

    • Author(s)
      H. Shiga
    • Journal Title

      Kyushu J. Math.

      Volume: 65

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms2011

    • Author(s)
      M. Petkova and Shiga, H
    • Journal Title

      Archiv der Mathematik

      Volume: vol.96, no.4 Pages: 335-348

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Journal Article] A variant of Jacobi type formula for Picard curves2010

    • Author(s)
      K.Matsumoto, H.Shiga
    • Journal Title

      J.Math.Soc.Japan 62

      Pages: 305-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] A Jacobi type formula for a family of hyperelliptic curves of genus 3 with automorphism of order 42010

    • Author(s)
      Shiga, hironori
    • Journal Title

      Kyushu J.Math

      Volume: (to appear) Pages: 1-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] A new interpretation of the Shimura curve with discriminant 6 in terms of Picard modular forms2010

    • Author(s)
      Petkova, maria, Shiga, hironori
    • Journal Title

      Archiv der Mathematik

      Volume: (to appear) Pages: 1-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] A variant of Jacobi type formula for Picard curves2010

    • Author(s)
      Keiji Matsumoto and Hironori Shiga
    • Journal Title

      Journal of the Mathematical Society ofJapan

      Volume: 62 Pages: 305-319

    • NAID

      10026999015

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540038
  • [Journal Article] A variant of Jacobi type formula for Picard curves2010

    • Author(s)
      Matsumoto K, Shiga H.
    • Journal Title

      J.Math.Soc.Japan 62

      Pages: 305-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] A variant of Jacobi type formula for Picard curves2010

    • Author(s)
      Shiga, hironori, Matsumoto, Keiji
    • Journal Title

      J.Math.Soc.Japan

      Volume: 62 Pages: 305-319

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] Arithmetic properties of Schwarz maps2009

    • Author(s)
      Shiga H., Suzuki Y., Wolfart J.
    • Journal Title

      Kyushu J.Math. 63

      Pages: 167-190

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] Arithmetic properties of Schwarz maps2009

    • Author(s)
      Shiga, H. and Wolfart, J
    • Journal Title

      Kyushu J. Math. (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] Complex Function Theory (in Japanese)2008

    • Author(s)
      H.shiga
    • Journal Title

      Sugakushobou

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Extended Gauss AGM and corresponding Picard modular forms.2008

    • Author(s)
      Koike K., Shiga H.
    • Journal Title

      J.Number Theory 128

      Pages: 2029-2126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] Extended Gauss AGM and corresponding Picard modular forms2008

    • Author(s)
      Koike, K. and Shiga, H
    • Journal Title

      J. Number Theory (In Press)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Extended Gauss AGM and corresponding Picard modular forms2008

    • Author(s)
      Koike, K. and Shiga, H.
    • Journal Title

      J. Number Theory (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Extended Gauss AGM and corresponding Picard modukar forms2008

    • Author(s)
      Koike, K and Shiga, H.
    • Journal Title

      J.Nomber Theory 128

      Pages: 2097-2126

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Journal Article] Algebraic values of Schwarz triangle functions2007

    • Author(s)
      Shiga, H. and Wolfart, J.
    • Journal Title

      Prog. Math 160

      Pages: 287-312

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Algebraic values of Schwarz triangle functions2007

    • Author(s)
      Shiga, H. and Wolfart, J.
    • Journal Title

      Prog. Math. 260

      Pages: 287-312

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean2007

    • Author(s)
      K.Koike, H.Shiga
    • Journal Title

      Journal of Number Theory 124

      Pages: 123-141

    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean.2007

    • Author(s)
      Koike, K. and Shiga, H.
    • Journal Title

      J. Number Theory 124

      Pages: 123-141

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Algebraic values of Schwarz triangle functions2007

    • Author(s)
      Shiga, H. and Wolfart, J.
    • Journal Title

      Progress in Mathematics 260

      Pages: 287-312

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean2007

    • Author(s)
      Koike, K. and Shiga, H.
    • Journal Title

      J. Number Theory 124

      Pages: 123-141

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Algebraic values of Schwarz Triangle Functions2007

    • Author(s)
      H.Shiga, J.Wolfart
    • Journal Title

      Progress in Mathematics 260

      Pages: 287-312

    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] A variation of the Ramanujan-Nagell type Diophantine equation2007

    • Author(s)
      M.Maruyama, H.Shiga
    • Journal Title

      Technical Report of Mathematical Sciences Chiba Univ. 23

      Pages: 1-7

    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean2007

    • Author(s)
      Koike, K. and Shiga, H.
    • Journal Title

      Journal of Number Theory 124

      Pages: 123-141

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Supplement to Extended Gauss AGM, quartic relations among Matsumoto Theta functions2006

    • Author(s)
      H.Shiga
    • Journal Title

      Technical Report of Mathematical Sciences Chiba Univ. 22

      Pages: 1-9

    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Extended Gauss AGM and corresponding Picard modular forms2006

    • Author(s)
      K.Koike, H.Shiga
    • Journal Title

      Technical Report of Mathematical Sciences Chiba Univ. 22

      Pages: 1-15

    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] A three terms arithmetic-geometric mean2005

    • Author(s)
      Shiga, H, K.Koike
    • Journal Title

      Chiba Technical Report Vol.21-1

      Pages: 1-7

    • Data Source
      KAKENHI-PROJECT-17540011
  • [Journal Article] Algebraic values of triangle Schwarz functions2004

    • Author(s)
      Shiga, Wolfart
    • Journal Title

      Tech.Report Chiba Univ. 20-5

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540153
  • [Journal Article] Algebraic values of triangle Schwarz functions2004

    • Author(s)
      H.Shiga, J.Wolfart
    • Journal Title

      Tech.Per.Chiba Univ. Vol.20-5

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540153
  • [Journal Article] Fuchsian differential equations with apparent singularities2004

    • Author(s)
      H.Shiga, T.Tsutsui, J.Wolfart
    • Journal Title

      Osaka J.Math. 41

      Pages: 1-34

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540153
  • [Journal Article] Fuchsian differential equations with apparent singularities2004

    • Author(s)
      Shiga, Tsutsui, Wolfart
    • Journal Title

      Osaka J.Math. 41

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540153
  • [Presentation] Mark 付き K3 曲面族の GKZ 周期微分方程式的接近2022

    • Author(s)
      志賀弘典
    • Organizer
      アクセサリー・パラメータ研究集会
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Presentation] 単純 K3 特異点から導かれる保型形式環の明示2020

    • Author(s)
      Hironori Shiga
    • Organizer
      特異点セミナー 2020年11月2日(リモート研究集会)
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Presentation] 報告: AIMS (African Institute for Mathematical Sciences) における、汎アフリカ先端数理教育2019

    • Author(s)
      Hironori Shiga
    • Organizer
      RIKEN iThems のアウトリーチについての研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Presentation] K3 modular functions and GKZ equations, alla Mandala2019

    • Author(s)
      Hironori Shiga
    • Organizer
      Mini-Conference on special functions, algebra and geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Presentation] Hypergeometric Modular functions and the Shimura canonical model with applications2019

    • Author(s)
      Hironori Shiga
    • Organizer
      Hypergeometric Measures and Multiple Zeta Values
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03396
  • [Presentation] An explicit Shimura canonical model for the quaternion algebra of discriminant 62017

    • Author(s)
      H. Shiga
    • Organizer
      30th Journees Arithmetiques
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] ペトコヴァ保型関数から 導かれるホイン方程式と栗原曲線の正準化2017

    • Author(s)
      H. Shiga
    • Organizer
      アクセサリー・パラメーター研究集会
    • Place of Presentation
      熊本大学(熊本県・熊本市)
    • Year and Date
      2017-03-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] Visualization of the Shimura complex multiplication via hypergeometric equations and Lam'e equations2016

    • Author(s)
      Hironori Shiga
    • Organizer
      数学教室談話会
    • Place of Presentation
      Padova 大学( イタリア)数学教室
    • Year and Date
      2016-02-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] 超幾何函数と四角モノドロミー群2016

    • Author(s)
      志賀弘典
    • Organizer
      アクセサリーパラメーター研究会
    • Place of Presentation
      熊本大学理学部( 熊本県、熊本市)
    • Year and Date
      2016-03-23
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] The Shimura canonical model for the quaternion algebra of discriminant 6 via the hypergeo- metric modular function2016

    • Author(s)
      H. Shiga
    • Organizer
      代数的整数論とその周辺
    • Place of Presentation
      京大数理解析研究所(京都府・京都市)
    • Year and Date
      2016-11-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] The arithmetic Fuchsian groups,2016

    • Author(s)
      H. Shiga
    • Organizer
      Univ. of Sheffield 数学談話会
    • Place of Presentation
      Sheffield (UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] To the Hilbert 12th problem from the hypergeometric modular function2016

    • Author(s)
      H. Shiga
    • Organizer
      Automorphic Forms: theory and computation
    • Place of Presentation
      London (UK)
    • Year and Date
      2016-09-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] One visualization of Shimura’s complex multiplication theorem via hypergeometric modular functions2016

    • Author(s)
      H. Shiga
    • Organizer
      Arithmetic and Low Dimensional Hyperbolic Spaces
    • Place of Presentation
      Istanbul (Turkey)
    • Year and Date
      2016-06-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] One class field via hypergeometric modular function2015

    • Author(s)
      Hironori Shiga
    • Organizer
      シンポジウム``ヨーロッパ数論週間"
    • Place of Presentation
      Debrecen 大学( ハンガリー)
    • Year and Date
      2015-06-08
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] Period map, Picard modular forms and Complex multiplication of higher degree (Geometrical Applicationsof Modular Forms of Several Variables)2015

    • Author(s)
      Hironori Shiga
    • Organizer
      18th Autumn Workshop on Number Theory at Hakuba
    • Place of Presentation
      白馬ハイマウントホテル( 長野県、白馬村)
    • Year and Date
      2015-11-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] One visualization of Shimura's complex multiplication theorem via hypergeometric modular functions2015

    • Author(s)
      Hironori Shiga
    • Organizer
      代数的整数論とその周辺 2015
    • Place of Presentation
      京都大学数理解析研究所( 京都府、京都市)
    • Year and Date
      2015-11-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04807
  • [Presentation] Explicit modular map for abelian surfaces via K3 surfaces2013

    • Author(s)
      Hironori Shiga
    • Organizer
      保型表現とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Presentation] アーベル曲面族に対する保型写像の記述と楕円 K3 曲面族2013

    • Author(s)
      志賀弘典
    • Organizer
      アクセサリーパラメータ研究集会
    • Place of Presentation
      熊本大学
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Presentation] Classical problems in number theory via K3 surfaces2013

    • Author(s)
      Hironori Shiga
    • Organizer
      6th world conference on 21st century mathematics
    • Place of Presentation
      Rahore (Pakistan)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Presentation] Hilbert modular forms via hierarchy of K3 surfaces2011

    • Author(s)
      H. Shiga
    • Organizer
      Explicit modular forms and their application(招待講演)
    • Place of Presentation
      ルミニ数学研究センター(フランス)
    • Data Source
      KAKENHI-PROJECT-23540061
  • [Presentation] A Jacobi type formula in 2 variables and its application2009

    • Author(s)
      H.Shiga
    • Organizer
      Journees Arithmetiques(数論週間シンポジウム)
    • Place of Presentation
      S.Etienne 大学(仏)
    • Year and Date
      2009-07-12
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Presentation] A variant of Jacobi type formula2008

    • Author(s)
      Shiga, H.
    • Organizer
      シンポジウム"超幾何函数をめぐる幾何と数論"
    • Place of Presentation
      オーバーヴォルファッハ数学研究所(独)
    • Year and Date
      2008-10-02
    • Data Source
      KAKENHI-PROJECT-20540007
  • [Presentation] Extended Gauss AGM corresponding Picard modular forms2007

    • Author(s)
      H. Shiga
    • Organizer
      Celeuration of Leonard Euler's Tercentenary - St. Petersburg
    • Place of Presentation
      at St. Petersburg Euler Institute
    • Year and Date
      2007-07-05
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Presentation] Extended Gauss AGM and corresponding Picard modular forms2007

    • Author(s)
      Shiga. H.
    • Organizer
      Celebration of Leonard Euler's Tercentenary - St. Petersburg(オイラー記念シンポジウム)
    • Place of Presentation
      S. Petersburg, Euler Institute
    • Year and Date
      2007-07-05
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540011
  • [Presentation] Extended Gauss AGM and corresponding Picard modular forms2007

    • Author(s)
      Shiga H.
    • Organizer
      Celebration of Leonard Euler's Tercentenary-St.Petersburg(オイラー記念シンポジウム)
    • Place of Presentation
      S.Petersburg,EUler Institute
    • Year and Date
      2007-07-05
    • Data Source
      KAKENHI-PROJECT-17540011
  • 1.  SUGIYAMA Ken-ichi (90206441)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  KOSHITANI Sigeo (30125926)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  TAKAGI Ryoichi (00015562)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  YOSHIDA Hidenobu (60009280)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  YANAGIHARA Niro (70009041)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  平田 和彦 (80020296)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  MATSUDA Shigeki (90272301)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  KITAZUME Masaaki (60204898)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  ISHIMURA Ryu-ichi (10127970)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  TSUTSUI Toru (00197732)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 2 results
  • 11.  NAGISA Masaru (50189172)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  安藤 哲也 (20184319)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  中神 潤一 (30092076)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  宮本 育子 (00009606)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  MATSUMOTO Keiji (30229546)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 16.  TERASOMA Tomohide (50192654)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  YOSHIDA Masaaki (30030787)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  OHARA Katsuyoshi (00313635)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  前田 文之 (10033804)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  水田 義弘 (00093815)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  志賀 啓成 (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  占部 博信 (60027711)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  齋藤 三郎 (10110397)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  野澤 宗平 (20092083)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  二木 昭人 (90143247)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  柳原 二郎 (30157804)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  田栗 正章 (10009607)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  安田 正実 (00041244)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  多田 充 (20303331)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

URL: 

Are you sure that you want to connect your ORCID iD to this researcher?
* This action can be performed only by the researcher themselves.

この研究者とORCID iDの連携を行いますか?
※ この処理は、研究者本人だけが実行できます。

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi