Hayashida Shuichi 林田秀一

… Alternative Names

林田秀一ハヤシダシュウイチ

HAYASHIDA SHUICHI 林田秀一

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Researcher Number	80597766
Other IDs
Affiliation (Current)	2025: 上越教育大学, 大学院学校教育研究科, 教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 上越教育大学, 大学院学校教育研究科, 教授 2019 – 2020: 上越教育大学, 大学院学校教育研究科, 准教授 2016 – 2017: 上越教育大学, 大学院学校教育研究科, 准教授 2015: 上越教育大学, 学校教育研究科, 准教授 2012 – 2015: 上越教育大学, 学校教育研究科(研究院), 准教授 2011: 大阪大学, インターナショナルカレッジ, 准教授
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator ジーゲル保型形式 / ヤコビ形式 / Ikeda-Miyawaki lift / Ikeda lift / 保型形式 / 重さ半整数の保型形式 / マース関係式 / Hecke 環 / Siegel 級数 / 概均質ベクトル空間 … More / L関数の特殊値 / ワイル群多重ディリクレ級数 / ケッヒャー・マース級数 / 新谷二重ゼータ関数 / 新谷の二重ディリクレ級数 / 多変数のディリクレ級数 / 多変数ディリクレ級数 / ヴェイユ表現 / 有限2次加群 / 保型形式の持ち上げ / ヤコビアイゼンシュタイン級数 / 保型L関数 / ジーゲルアイゼンシュタイン級数 / ディリクレ級数 / プラス空間 / マース空間 / エル関数 / コーネン・スコルッパ・山崎型ディリクレ級数 / 重さ半整数のコーネン・スコルッパ型ディリクレ級数 / ヤコビ形式のランキン・セルバーグ型ディリクレ級数 / ランキン・セルバーグ型ディリクレ級数 / アメリカ / ドイツ / ヒルベルト保型形式 / 国際研究者交流 / Zharkovskaya の定理 / Maass 関係式 / Fourier-Jacobi 展開 / Zharkovskaya's theorem / リフティング / ジーゲル・アイゼンシュタイン級数 … More Except Principal Investigator 保型形式 / 整数論 / 種の理論 / リフティング / 特殊関数 / 特殊値 / Ｌ関数 / 代数学 / アーベル多様体 / L 関数 / ４元数的エルミート形式 / 超特異アーベル多様体 / 保型形式の合同 / 保型的微分作用素 / ２次形式 / 特殊関数論 / 跡公式 / ヤコービ形式 / 概均質ベクトル空間 / コンパクト実形 / ゼータ関数 / ホロノミー系 / 微分作用素 / ゲーゲンバウア関数 / テータ関数 / ヤコービ保型形式 / ジーゲル保型形式 / ヤコビ形式 Less

Dirichlet series in several variables associated to automorphic forms and their applications to special values of automorphic L-functionsPrincipal Investigator
- Principal Investigator
  
  林田秀一
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Joetsu University of Education
Automorphic L-functions by using the generalized Maass relationsPrincipal Investigator
- Principal Investigator
  
  Hayashida Shuichi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Joetsu University of Education
Research on automorphic forms of several variables by using Jacobi forms
- Principal Investigator
  
  Aoki Hiroki
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Explicit study of number theory of automorphic forms of several variables related to trace formulas.
- Principal Investigator
  
  Ibukiyama Tomoyoshi
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Lifting for Siegel modular forms of half-integral weightPrincipal Investigator
- Principal Investigator
  
  HAYASHIDA SHUICHI
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Joetsu University of Education
  Osaka University

All 2022 2021 2019 2018 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lift of half-integral weight2019
- Author(s)
  Shuichi Hayashida
- Journal Title
  
  Mathematika
  
  Volume: 65 Issue: 4 Pages: 897-928
- DOI
  10.1112/s0025579319000172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03419
[Journal Article] On Kohnen plus-space of Jacobi forms of half integral weight of matrix index2018
- Author(s)
  Shuichi Hayashida
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 55
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400007
[Journal Article] Lifting from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree2016
- Author(s)
  Shuichi Hayashida
- Journal Title
  
  Documenta Mathematica
  
  Volume: 21 Pages: 125-196
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400007
[Journal Article] Generalized Maass relations and lifts2015
- Author(s)
  Shuichi Hayashida
- Journal Title
  
  数理解析研究所考究録
  
  Volume: 1973 Pages: 1-9
- Data Source
  KAKENHI-PROJECT-26400007
[Journal Article] On the spinor L-funcion of Miyawaki-Ikeda lifts2014
- Author(s)
  Shuichi Hayashida
- Journal Title
  
  International Journal of Number Theory
  
  Volume: 10 Issue: 02 Pages: 297-307
- DOI
  10.1142/s1793042113500930
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740018
[Journal Article] On generalized Maass relations and their application to Miyawaki-Ikeda lifts2013
- Author(s)
  Shuichi Hayashida
- Journal Title
  
  Commentarii Mathematici Universitatis Sancti Pauli
  
  Volume: 62 Pages: 59-90
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740018
[Journal Article] On generalized Maass relations and their application to Miyawaki-Ikeda lifts2013
- Author(s)
  S. Hayashida
- Journal Title
  
  Comment. Math. Univ. St. Pauli.
  
  Volume: Vol 62, No 1 Pages: 59-90
- URL
  https://rikkyo.repo.nii.ac.jp/?action=pages_view_main&active_action=repository_view_main_item_detail&item_id=7398&item_no=1&page_id=13&block_id=49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740018
[Journal Article] 次数2の重さ半整数ジーゲル保型形式へのリフティング2011
- Author(s)
  林田秀一
- Journal Title
  
  第56回代数学シンポジウム報告集
  
  Pages: 14-14
- URL
  http://server03.mathsoc.jp/section/algebra/algsymp_past/algsymp11.html
- Data Source
  KAKENHI-PROJECT-23740018
[Journal Article] 二つの楕円保型形式から重さ半整数Siegel保型形式へのリフト2011
- Author(s)
  林田秀一
- Journal Title
  
  第19回整数論サマースクール報告集
  
  Pages: 302-321
- URL
  http://www.sci.kumamoto-u.ac.jp/~narita/ss2011_proceedings.htm
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Kohnen plus-space of Jacobi forms of half-integral weight and certain Dirichlet series of Rankin-Selberg type of Jacobi forms2022
- Author(s)
  林田秀一
- Organizer
  2022早稲田整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03419
[Presentation] Kohnen plus-space for Jacobi forms of half-inetgral weight2021
- Author(s)
  Shuichi Hayashida
- Organizer
  Modular forms: an online conference in honour of Prof. B. Ramakrisnan's 60th birthday
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03419
[Presentation] Maass relations and certain Dirichlet series associated to Siegel modular forms.2019
- Author(s)
  Shuichi Hayashida
- Organizer
  HKU Number Theory Days 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03419
[Presentation] Kohnen-Skoruppa-Yamazaki type Dirichlet series with respect to certain Siegel cusp forms of half-integral weight2018
- Author(s)
  Shuichi Hayashida
- Organizer
  Workshop on Jacobi forms and applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400007
[Presentation] Generalized Maass relations and lifts.2015
- Author(s)
  林田秀一
- Organizer
  RIMS 研究集会「モジュラー形式と保型表現」
- Place of Presentation
  数理解析研究所
- Year and Date
  2015-02-02
- Data Source
  KAKENHI-PROJECT-26400007
[Presentation] Relations among Fourier-Jacobi coefficients of Siegel-Eisenstein series and their applications.2014
- Author(s)
  林田秀一
- Organizer
  The 17th Hakuba Autumn Workshop on Number Theory
- Place of Presentation
  白馬ハイマウントホテル
- Year and Date
  2014-11-08
- Data Source
  KAKENHI-PROJECT-26400007
[Presentation] ジーゲル保型形式の一般化マース関係式について.2014
- Author(s)
  林田秀一
- Organizer
  日本数学会2014年度秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-26400007
[Presentation] Lifts from two elliptic modular forms to Siegel modular forms of half-integral weight of even degrees2014
- Author(s)
  S. Hayashida
- Organizer
  Explicit Theory of Automorphic Forms
- Place of Presentation
  同済大学(中国・上海市)
- Year and Date
  2014-03-28
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Generalized Maass relations and Miyawaki-Ikeda lifts2013
- Author(s)
  S. Hayashida
- Organizer
  27th Automorphic Forms Workshop
- Place of Presentation
  University of College Dublin (アイルランド・ダブリン市)
- Year and Date
  2013-03-13
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Relations among Fourier coefficients of holomorphic Siegel-Eisenstein series2013
- Author(s)
  S. Hayashida
- Organizer
  Workshop on modular forms and Jacobi forms
- Place of Presentation
  上越教育大学
- Year and Date
  2013-06-11
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Generalized Maass relations and Miyawaki-Ikeda lifts.2013
- Author(s)
  林田秀一
- Organizer
  27th Automorphic Forms Workshop
- Place of Presentation
  University of College Dublin, Ireland
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Numerical examples of Euler factors of Siegel modular forms of half-integral weight of degree three2012
- Author(s)
  S. Hayashida
- Organizer
  26th Automorphic Forms Workshop
- Place of Presentation
  University of British Columbia (カナダ・バンクーバー市)
- Year and Date
  2012-04-28
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Miyawaki-Ikedaリフトのスピノル L関数について2012
- Author(s)
  林田秀一
- Organizer
  第5回ゼータ若手研究集会
- Place of Presentation
  名古屋大学多元数理
- Year and Date
  2012-02-11
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Numerical examples of Euler factors of Siegel modular forms of half-integral weight of degree three.2012
- Author(s)
  林田秀一
- Organizer
  26th Automorphic Forms Workshop
- Place of Presentation
  University of British Columbia, Canada
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] 次数2の重さ半整数ジーゲル保型形式へのリフティング2011
- Author(s)
  林田秀一
- Organizer
  第56回代数学シンポジウム
- Place of Presentation
  岡山大学
- Year and Date
  2011-08-11
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] 二つの楕円保型形式からの重さ半整数Siegel保型形式へのリフト2011
- Author(s)
  林田秀一
- Organizer
  第19回整数論サマースクール
- Place of Presentation
  富士箱根ランド
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Cohen type Eisenstein series of degree two and a relation among Fourier coefficients.2011
- Author(s)
  林田秀一
- Organizer
  2011 International Conference on Number Theory
- Place of Presentation
  上海交通大学
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] 次数2の重さ半整数ジーゲル保型形式へのリフティング2011
- Author(s)
  林田秀一
- Organizer
  第56回代数学シンポジウム(招待講演)
- Place of Presentation
  岡山大学
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] 二つの楕円保型形式からの重さ半整数Siegel保型形式へのリフト2011
- Author(s)
  林田秀一
- Organizer
  第19回整数論サマースクール
- Place of Presentation
  富士箱根ランド・スコーレプラザホテル
- Year and Date
  2011-09-09
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Cohen type Eisenstein series of degree two and a relation among Fourier coefficients2011
- Author(s)
  S. Hayashida
- Organizer
  2011 International Conference on Number Theory
- Place of Presentation
  上海交通大学(中国・上海市)
- Year and Date
  2011-08-17
- Data Source
  KAKENHI-PROJECT-23740018
[Presentation] Lifts from two elliptic modular forms to Siegel modular forms of half-integral weight of even degrees.
- Author(s)
  Shuichi Hayashida
- Organizer
  Explicit Theory of Automorphic Forms
- Place of Presentation
  同済大学（中華人民共和国・上海市）
- Invited
- Data Source
  KAKENHI-PROJECT-23740018

1. AOKI Hiroki (10333189)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. Ibukiyama Tomoyoshi (60011722)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. Watanabe Takao (30201198)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. Moriyama Tomonori (80384171)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. Ochiai Tadashi (90372606)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. Ikeda Tamotsu (20211716)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 若槻聡 (10432121)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 佐藤文広 (20120884)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 北山秀隆 (20622567)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 桂田英典 (80133792)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. Sakata Hiroshi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Hayashida Shuichi 林田 秀一

林田 秀一 ハヤシダ シュウイチ

HAYASHIDA SHUICHI 林田 秀一

Research Projects

Research Products

Co-Researchers

Dirichlet series in several variables associated to automorphic forms and their applications to special values of automorphic L-functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Automorphic L-functions by using the generalized Maass relationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on automorphic forms of several variables by using Jacobi forms

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Explicit study of number theory of automorphic forms of several variables related to trace formulas.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Lifting for Siegel modular forms of half-integral weightPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lift of half-integral weight2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On Kohnen plus-space of Jacobi forms of half integral weight of matrix index2018

Author(s)

Journal Title

Data Source

[Journal Article] Lifting from two elliptic modular forms to Siegel modular forms of half-integral weight of even degree2016

Author(s)

Journal Title

Data Source

[Journal Article] Generalized Maass relations and lifts2015

Author(s)

Journal Title

Data Source

[Journal Article] On the spinor L-funcion of Miyawaki-Ikeda lifts2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On generalized Maass relations and their application to Miyawaki-Ikeda lifts2013

Author(s)

Journal Title

Data Source

[Journal Article] On generalized Maass relations and their application to Miyawaki-Ikeda lifts2013

Author(s)

Journal Title

URL

Data Source

[Journal Article] 次数2の重さ半整数ジーゲル保型形式へのリフティング2011

Author(s)

Journal Title

URL

Data Source

[Journal Article] 二つの楕円保型形式から重さ半整数Siegel保型形式へのリフト2011

Author(s)

Journal Title

URL

Data Source

[Presentation] Kohnen plus-space of Jacobi forms of half-integral weight and certain Dirichlet series of Rankin-Selberg type of Jacobi forms2022

Author(s)

Organizer

Hayashida Shuichi 林田秀一

林田秀一ハヤシダシュウイチ

HAYASHIDA SHUICHI 林田秀一