Hirano Miki 平野幹

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HIRANO Miki 平野幹

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Researcher Number	80314946
Other IDs
Affiliation (Current)	2025: 愛媛大学, 理工学研究科(理学系), 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 愛媛大学, 理工学研究科(理学系), 教授 2014: 愛媛大学, 大学院理工学研究科, 教授 2008 – 2014: Ehime University, 理工学研究科, 教授 2010 – 2011: 愛媛大学, 大学院・理工学研究科, 教授 2007: Seikei University, 理工学部, 准教授 … More 2006: 愛媛大学, 理工学研究科, 助教授 2003 – 2005: 愛媛大学, 理学部, 助教授 2001 – 2002: 愛媛大学, 理学部, 講師 Less
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Science education / Algebra
Keywords	Principal Investigator 保型L-関数 / ジーゲル保型形式 / フーリエ・ヤコビ展開 / フーリエ・ヤコビ型球関数 / ホイッタカー関数 / 有限特殊関数 / 有限対称空間 / グラフスペクトル論 / 整数論 / 代数学 … More / ランキン・セルバーグ型ゼータ積分 / 保型L-関教 / フーリエ・ヤコビ型球関教 / フーリエ・ヤコビ型球関 / 保型レー関数 … More Except Principal Investigator Kudla lift / spherical functions / automorphic forms / modular forms / 保型形式 / 科学教育カリキュラム / STEAM / 地域格差 / ジェンダー / STEAM教育 / 科学カリキュラム / 才能教育 / Green correspondence / block variety / block cohomology / Brauer correspondence / block ideal / コホモロジー / 有限群 / グリーン対応 / ブロック多様体 / ブロック・コホモロジー / ブラウアー対応 / ブロック・イデアル / Automorphic L-functions / Periods of automorphic forms / Siegel Weil formula / Automorphic forms on unitary groups / テータ級数 / 整数論 / ゼータ関数 / 代数群 / 四元数ユニタリ群上の保型形式 / Sigel-Weil公式 / 保型L関数 / 保型形式の周期 / Siegel-Weil公式 / ユニタリ群上の保型形式 / 多変数超幾何関数 / Lie群上の球関数 / 不連続群 / 保型型式 / hypergeometric functions / Whittaker functions / fundamental domain / discrete series / Green currents / Whittaker function / Green functions / Automorphic forms / spherical functions on Lie groups / L-functions / moduli spaces / Picardモジュラー形式 / L-関数 / 球関数 / モジュライ空間 / ホッヂ構造 / 行列係数 / 級関数 / モジュラー形式 / discrete subgroups / modular varieties,不連続群 / Whittaker functions,モジュラー多様体 / spherical functions, Whittaker関数 / automorphic forms,球関数 Less

グラフ上の調和解析の視点による整数論の研究Principal Investigator
- Principal Investigator
  
  平野幹
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Ehime University
Interdisciplinary Study on STEAM (Science, Technology, Engineering, Agriculture/Arts, and Mathematics) Education Curricula for the Gifted, Considering Gender and Regional Gaps
- Principal Investigator
  
  Sumida Manabu
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Science education
- Research Institution
  Ehime University
Research on number theory in vew of finite symmetric spaces and the associated graph spectrumPrincipal Investigator
- Principal Investigator
  
  HIRANO Miki
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Ehime University
Study of Fourier-Jacobi type spherical functions for Siegel modular forms of degree two and its applicationPrincipal Investigator
- Principal Investigator
  
  HIRANO Miki
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ehime University
Arithmetic study of automorphic forms of many variables by various method
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Study of Fourier-Jacobi type spherical functions for Siegel modular forms of degree two and its applicationPrincipal Investigator
- Principal Investigator
  
  HIRANO Miki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Ehime University
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 Fourier-Jacobi expansions for Siegel modular forms of degree two and associated special functionsPrincipal Investigator
- Principal Investigator
  
  HIRANO Miki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Ehime University
  Seikei University
Cohomology Theory of Finite Groups
- Principal Investigator
  
  SASAKI Hiroki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shinshu University
  Ehime University
次数2のジーゲル保型形式に対するフーリエ・ヤコビ展開の定式化の研究Principal Investigator
- Principal Investigator
  
  平野幹
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Ehime University
次数2の非正則ジーゲル保型形式に対するフーリエ・ヤコビ展開の研究Principal Investigator
- Principal Investigator
  
  平野幹
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Ehime University
Study on automorphic forms on algebraic groups and associated zeta functions
- Principal Investigator
  
  MURASE Atsushi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto Sangyo University

All 2022 2018 2017 2016 2011 2009 2007 2006 2005 2004 Other

All Journal Article Presentation Book

[Book] Archimedean zeta integrals for GL(3)×GL(2) .2022
- Author(s)
  Hirano, Miki; Ishii, Taku; Miyazaki, Tadashi
- Total Pages
  122
- Publisher
  American Mathematical Society
- ISBN
  9781470452773
- Data Source
  KAKENHI-PROJECT-19K03450
[Journal Article] Ramanujan Cayley graphs of Frobenius groups2016
- Author(s)
  Miki Hirano, Kohei Katata and Yoshinori Yamasaki
- Journal Title
  
  Bulletin of the Australian Mathematical Society
  
  Volume: 94 Issue: 3 Pages: 373-383
- DOI
  10.1017/s0004972716000587
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04785, KAKENHI-PROJECT-16K13750
[Journal Article] The Archimedean Whittaker functions on GL(3), in" Geometry and analysis of automorphic forms of several variables"2011
- Author(s)
  Miki Hirano, Taku Ishii, Tadashi Miyazaki
- Journal Title
  
  World scientific
  
  Pages: 77-109
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740020
[Journal Article] Calaulus of prinaipal series Whittaker funcfions on GL(3,C)2009
- Author(s)
  Miki Hirano, Takayuki Oda
- Journal Title
  
  Jaul-Nal of Functionaf Aualysis 256
  
  Pages: 2222-2267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Calculus of principal series Whittaker functions on GL(3, C)2009
- Author(s)
  Miki Hirano(平野幹) and T. Oda
- Journal Title
  
  J. Funct. Analysis
  
  Volume: 256 Pages: 2222-2267
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Calculus of principal series Whittaker functions on G(3,C)2009
- Author(s)
  M. Hirano, T. Oda
- Journal Title
  
  J.of Func.Anslysis 256
  
  Pages: 2222-2267
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Calculus of principal series Whittaker functions on GL(3,C)2009
- Author(s)
  M. Hirano, T. Oda
- Journal Title
  
  Journal of Functional Analysis 256
  
  Pages: 2222-2267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Propagation formula for principal series Whittaker functions on GL(3,C)2007
- Author(s)
  M. Hirano
- Journal Title
  
  成蹊大学理工学研究報告 44
  
  Pages: 17-23
- NAID
  110007612222
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Whittaker functions for PJ-principal series representations of Sp(3,R)2007
- Author(s)
  M. Hirano, T. Ishii, T. Oda
- Journal Title
  
  Advances in Mathematics 215
  
  Pages: 734-765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Whittaker functions for P_j-principal series representations of Sp(3, R)2007
- Author(s)
  T. Oda, Miki Hirano(平幹野) and Taku Ishii(石井卓)
- Journal Title
  
  Adv. In Math.
  
  Volume: 215 Pages: 734-765
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Propagation Formula for principal sevies Whitaken functions on GL(3.C)2007
- Author(s)
  Miki, Hirano
- Journal Title
  
  成蹊大学理工学研究報告 44-2
  
  Pages: 17-23
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Whiftaka funetions for P_J-principal sevies representations of Sp (3.R)2007
- Author(s)
  Miki, Hirano・Taku, Jshii・Takayuki, Oka
- Journal Title
  
  Adcances in mathematics 215
  
  Pages: 734-765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Conflueuce from Siegel-Whittaker functions to Whittaker functions on Sp(2.1R)2006
- Author(s)
  Miki Hirano, Taku Ishii, Takayuki Oda
- Journal Title
  
  Mathematical Proceedings of the Canbroidge Philosophical Society 141-1
  
  Pages: 15-31
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Confluence from Siegel-Whittaker functions to Whittaker functions on Sp(2,R)2006
- Author(s)
  M. Hirano, T. Ishii, T. Oda
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society 141
  
  Pages: 15-31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Secondary Whittaker functions for P_J-principal series representations of Sp(3,IR)2005
- Author(s)
  Miki Hirano, Takayuki Oda
- Journal Title
  
  Proc. Japan Acad.Ser.A 81,no.6
  
  Pages: 105-109
- Data Source
  KAKENHI-PROJECT-15740017
[Journal Article] representations of Sp(2,R) Fourier-Jacobi type spherical functions for principal series2004
- Author(s)
  Miki, Hirano
- Journal Title
  
  Indagationes Mathematicae, N.S. 15(1)
  
  Pages: 43-54
- Data Source
  KAKENHI-PROJECT-15740017
[Journal Article] The archimedean Whittaker Functions on GL(3)
- Author(s)
  M.Hirano, T.Ishii, T.Miyazaki
- Journal Title
  
  Geometry and Analysis of Automorphic Forms of Several Variables
  
  Volume: (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740020
[Journal Article] Whiffaker functions for Pj-priucipal series representations of Sp(3.1R)
- Author(s)
  Miki Hirano, Taku Ishii, Takayuki Oda
- Journal Title
  
  Adrances in Mathowatics (to appear)
- Data Source
  KAKENHI-PROJECT-18740010
[Journal Article] Confluence from Siegel-Whittaker functions to Whittaker functions on Sp(2,IR)
- Author(s)
  Miki Hirano, Taku Ishii, Takayuki Oda
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Soc. (to appear)
- Data Source
  KAKENHI-PROJECT-15740017
[Presentation] Remarks on Ramanujan circulants and dihedrants2018
- Author(s)
  平野　幹
- Organizer
  香川セミナー
- Data Source
  KAKENHI-PROJECT-16K13750
[Presentation] Ramanujan Cayley graphs and the conjecture of Hardy-Littlewood and Bateman-Horn2017
- Author(s)
  平野　幹
- Organizer
  概均質セミナー
- Data Source
  KAKENHI-PROJECT-16K13750
[Presentation] Archimedean Whittaker functions on GL(3), The International Symposium" Geometry and analysis of automorphic forms of several variables"2009
- Author(s)
  Taku Ishii, Miki Hirano, Tadashi Miyazaki
- Organizer
  東京大学大学院数理科学研究科
- Year and Date
  2009-09-17
- Data Source
  KAKENHI-PROJECT-21740020
[Presentation] Archimedean Whittaker functins on GL (3)2009
- Author(s)
  石井卓・平野幹・宮崎直
- Organizer
  Geometry and Analysis of Automorphic Rorms of Several Variatles
- Place of Presentation
  東京大学
- Year and Date
  2009-09-17
- Data Source
  KAKENHI-PROJECT-21740020
[Presentation] Archimedean zeta integrals for GL(3)×GL(2)
- Author(s)
  平野幹　石井卓　宮崎直
- Organizer
  RIMS研究集会「モジュラー形式と保型表現」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-02-02 – 2015-02-06
- Data Source
  KAKENHI-PROJECT-24540022

1. TSUZUKI Masao (80296946)

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2. HIRONAKA Yumiko (10153652)

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3. MURASE Atsushi (40157772)

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4. ISHII Taku (60406650)

# of Collaborated Projects: 2 results

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5. ODA Takayuki (10109415)

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6. IBUKIYAMA Tomoyoshi (60011722)

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7. KOSEKI Harutaka (60234770)

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8. SUGANO Takashi (30183841)

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9. HAYATA Takahiro (50312757)

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10. WATANABE Takao (30201198)

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11. 山崎義徳 (00533035)

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12. 原本博史 (40511324)

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13. ICHIKAWA Takashi (20201923)

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14. ARIYAMA Kazutoshi (20123713)

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15. SATO Fumihiro (20120884)

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16. HAMAHATA Yoshinori (90260645)

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17. WAKATSUKI Satoshi (10432121)

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18. GON Yasuro (30302508)

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19. ITO Masami (50065843)

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20. OHNO Yasuo (70330230)

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21. SASAKI Hiroki (60142684)

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22. WATANABE Atumi (90040120)

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23. SANADA Katsunori (50196292)

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24. KAWAI Hiroaki (10222431)

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25. NIWASAKI Takashi (50218252)

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26. Sumida Manabu (50315347)

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27. 勝良昌司 (80065870)

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28. 水原亮 (30065776)

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31. 大島まり (40242127)

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32. 大橋淳史 (50407136)

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33. 鈴木誠 (60322856)

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38. 林秀則 (60124682)

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39. NARITA Hiroaki

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Hirano Miki 平野 幹

HIRANO Miki 平野 幹

Research Projects

Research Products

Co-Researchers

グラフ上の調和解析の視点による整数論の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Interdisciplinary Study on STEAM (Science, Technology, Engineering, Agriculture/Arts, and Mathematics) Education Curricula for the Gifted, Considering Gender and Regional Gaps

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on number theory in vew of finite symmetric spaces and the associated graph spectrumPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Fourier-Jacobi type spherical functions for Siegel modular forms of degree two and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Arithmetic study of automorphic forms of many variables by various method

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Fourier-Jacobi type spherical functions for Siegel modular forms of degree two and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Fourier-Jacobi expansions for Siegel modular forms of degree two and associated special functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Cohomology Theory of Finite Groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

次数2のジーゲル保型形式に対するフーリエ・ヤコビ展開の定式化の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

次数2の非正則ジーゲル保型形式に対するフーリエ・ヤコビ展開の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on automorphic forms on algebraic groups and associated zeta functions

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] Archimedean zeta integrals for GL(3)×GL(2) .2022

Author(s)

Total Pages

Hirano Miki 平野幹

HIRANO Miki 平野幹