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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
  • Research Projects

    (12 results)
  • Research Products

    (24 results)
  • Co-Researchers

    (39 People)
  •  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)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  HIRONAKA Yumiko (10153652)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  MURASE Atsushi (40157772)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  ISHII Taku (60406650)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 5.  ODA Takayuki (10109415)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 3 results
  • 6.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  KOSEKI Harutaka (60234770)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  SUGANO Takashi (30183841)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  HAYATA Takahiro (50312757)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  WATANABE Takao (30201198)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  山崎 義徳 (00533035)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 12.  原本 博史 (40511324)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  ICHIKAWA Takashi (20201923)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  ARIYAMA Kazutoshi (20123713)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  SATO Fumihiro (20120884)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  HAMAHATA Yoshinori (90260645)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  WAKATSUKI Satoshi (10432121)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  GON Yasuro (30302508)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  ITO Masami (50065843)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  OHNO Yasuo (70330230)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  SASAKI Hiroki (60142684)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  WATANABE Atumi (90040120)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  SANADA Katsunori (50196292)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KAWAI Hiroaki (10222431)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  NIWASAKI Takashi (50218252)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  Sumida Manabu (50315347)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  勝良 昌司 (80065870)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  水原 亮 (30065776)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  大隅 典子 (00220343)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  稲田 結美 (30585633)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  大島 まり (40242127)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  大橋 淳史 (50407136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  鈴木 誠 (60322856)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  千葉 和義 (70222130)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  中山 迅 (90237470)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  渡辺 正夫 (90240522)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  土屋 由香 (90263631)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  林 秀則 (60124682)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  NARITA Hiroaki
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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