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Koyama Shinya  小山 信也

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… Alternative Names

Koyama Shin-ya  小山 信也

小山 信也  コヤマ シンヤ

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Researcher Number 50225596
Other IDs
External Links
Affiliation (Current) 2025: 東洋大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help 2025: 東洋大学, 理工学部, 教授
2017 – 2019: 東洋大学, 理工学部, 教授
2011 – 2015: 東洋大学, 理工学部, 教授
2004: 慶應大, 理工学部, 助教授
1999 – 2003: 慶應義塾大学, 理工学部, 助教授 … More
1995: 慶應義塾大学, 理工学部, 専任講師
1995: 慶應義塾大学, 理工学部, 講師
1994: 慶應義塾大学, 理工学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Geometry / Algebra
Keywords
Principal Investigator
ゼータ関数 / 整数論 / 素測地線定理 / 保型形式 / リーマン予想 / オイラー積 / 量子カオス / 素数定理 / 量子エルゴード性 / 数論的量子カオス … More / 深リーマン予想 / セルバーグ・ゼータ関数 / 離散群 / 代数学 / 国際情報交換カナダ / 数論 / L関数 / アイゼンシュタイン級数 / 関数体 / 合同部分群 / 量指標 / ゼータ関数の普遍性 / 多重ゼータ関数 / 多重三角関数 / 保型L関数 / 解析数論 / 明示公式 / 分布定理 / ベッセル関数 / 素測地線 / リンデレーフ予想 / L-関数 / 保型関数 / セルバーグ跡公式 / スペクトル幾何学 / センク関数 / スペクトル / 整教論 … More
Except Principal Investigator
漸近展開理論 / 量子カオス / ランダム行列 / ローブレイン / 指数定理 / 変形量子化 / 線形回帰数列 / 数論的量子カオス / complexity / 正規数 / 算術的整関数 / 代数的独立 / マーラーの方法 / 超越数 / 接コモホロジー / 葉層構造 / 剛性 / 群作用 Less
  • Research Projects

    (9 results)
  • Research Products

    (37 results)
  • Co-Researchers

    (12 People)
  •  「チェビシェフの偏り」の解明と,L関数の非自明零点を用いた精密化Principal Investigator

    • Principal Investigator
      小山 信也
    • Project Period (FY)
      2025 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Toyo University
  •  Uniformity of spectra of arithmetic manifolds and the deep Riemann hypothesisPrincipal Investigator

    • Principal Investigator
      Koyama Shin-ya
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Toyo University
  •  Generalization of quantum ergodicityPrincipal Investigator

    • Principal Investigator
      Koyama Shin-ya
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Toyo University
  •  非可換幾何学に関連した数理物理に関する日英共同プロジェクトの立案企画

    • Principal Investigator
      前田 吉昭
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  ゼータ関数の値の挙動についてPrincipal Investigator

    • Principal Investigator
      小山 信也
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  測地線定理の精密化Principal Investigator

    • Principal Investigator
      小山 信也
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  超越数論におけるマーラーの方法とその応用

    • Principal Investigator
      塩川 守賢
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  量子的エルゴード性とその応用としての素測地線定理の誤差項の改善Principal Investigator

    • Principal Investigator
      小山 信也
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  幾何学的変換群論

    • Principal Investigator
      金井 雅彦
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation Book

  • [Book] 1日1ページ 数学の教養3652020

    • Author(s)
      クリフォード・A・ピックオーバー,小山信也(監訳)
    • Total Pages
      408
    • Publisher
      ニュートンプレス
    • ISBN
      4315522198
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Book] ゼータへの招待2018

    • Author(s)
      黒川信重・小山信也
    • Total Pages
      168
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Book] ラマヌジャン 《ゼータ関数論文集》2016

    • Author(s)
      黒川信重,小山信也
    • Total Pages
      167
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Book] 素数とゼータ関数2015

    • Author(s)
      小山信也
    • Total Pages
      288
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Book] ABC予想入門2013

    • Author(s)
      黒川信重・小山信也
    • Publisher
      PHP研究所
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Book] すべての人の微分積分学2013

    • Author(s)
      小山信也・中島さち子
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] Estimates of lattice points in the discriminant aspect over abelian extension fields2017

    • Author(s)
      Takeda Wataru、Koyama Shin-ya
    • Journal Title

      Forum Mathematicum

      Volume: 0 Issue: 3 Pages: 1-11

    • DOI

      10.1515/forum-2017-0152

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Journal Article] Triple mean values of Witten L-functions2015

    • Author(s)
      Shin-ya Koyama , Nobushige Kurokawa
    • Journal Title

      Monatshefte fur Mathematik

      Volume: 30, November Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] Counting and zeta function over F12015

    • Author(s)
      Anton Deitmar, Shin-ya Koyama and Nobushige Kurokawa
    • Journal Title

      Abh. Math. Semin. Univ. Hambg.

      Volume: 85 Issue: 1 Pages: 59-71

    • DOI

      10.1007/s12188-015-0104-3

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] Euler Products beyond the boundary2014

    • Author(s)
      T. Kimura, S. Koyama, N. Kurokawa
    • Journal Title

      Letters in Mathematical Physics

      Volume: 104 Issue: 1 Pages: 1-19

    • DOI

      10.1007/s11005-013-0644-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-13J04302, KAKENHI-PROJECT-23540031
  • [Journal Article] Euler products beyond the boundary for Selberg zeta functions2014

    • Author(s)
      Shin-ya Koyama and Fumika Suzuki
    • Journal Title

      Proceedings of the Japan Academy

      Volume: 90(8) Pages: 101-106

    • NAID

      40020292611

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] 数論的量子カオスと量子エルゴード性2014

    • Author(s)
      小山信也
    • Journal Title

      数理解析研究所講究録

      Volume: 1891 Pages: 1-18

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] Formal group laws for multiple sine functions and applications2013

    • Author(s)
      Shin-ya Koyama and Nobushige Kurokawa
    • Journal Title

      Kodai Mathematical Journal

      Volume: 36 Issue: 1 Pages: 109-118

    • DOI

      10.2996/kmj/1364562723

    • NAID

      130004496173

    • ISSN
      0386-5991, 1881-5472
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] 生体系のランダム行列理論2012

    • Author(s)
      小山信也
    • Journal Title

      日本数理生物学会ニュースレター

      Volume: 67 Pages: 9-11

    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] Zeta functions of generalized permutations with applications to factorization formulas2012

    • Author(s)
      Shin-ya Koyama and Sachiko Nakajima
    • Journal Title

      Proceedings of the Japan Academy

      Volume: 88A Issue: 8 Pages: 115-120

    • DOI

      10.3792/pjaa.88.115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] Absolute zeta functions2011

    • Author(s)
      Shin-ya Koyama and Nobushige Kurokawa
    • Journal Title

      Noncomm. geom. arith. and related topics

      Volume: 1 Pages: 225-240

    • NAID

      40016323261

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Journal Article] Absolute modular forms2011

    • Author(s)
      Shin-ya Koyama and Nobushige Kurokawa
    • Journal Title

      Noncomm. geom. arith. and related topics

      Volume: 1 Pages: 213-224

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] 多重三角関数 ~ その端緒から最近の進展まで2020

    • Author(s)
      小山信也
    • Organizer
      第2回「多重三角関数とその一般化」
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Presentation] Convergence of Euler products of the absolute tensor products of L-functions2019

    • Author(s)
      Shin-ya Koyama
    • Organizer
      The Riemann-Roch Theorem over the One-Element- Field
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Presentation] Applications of Ramanujan's method on the behavior of Euler products to Selberg zeta functions2019

    • Author(s)
      Shin-ya Koyama
    • Organizer
      Analytic and Combinatorial Number Theory: The Legacy of Ramanujan
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Presentation] Euler products of Selberg zeta functions in the critical strip2018

    • Author(s)
      Shin-ya Koyama
    • Organizer
      Zeta Functions in Okinawa 2018
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Presentation] セルバーグ・ゼータ関数のオイラー積の収束性2018

    • Author(s)
      小山信也・金子生弥
    • Organizer
      日本数学会
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Presentation] Euler products of Selberg zeta functions in the critical strip2018

    • Author(s)
      Shin-ya Koyama
    • Organizer
      Canadian Number Theory Association IX
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Presentation] Convergence of Euler products of Selberg zeta funcitons2017

    • Author(s)
      Shin-ya Koyama and Ikuya Kaneko
    • Organizer
      Zeta Functions in Okinawa 2017
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05184
  • [Presentation] Zeta functions of supergraphs2015

    • Author(s)
      小山信也
    • Organizer
      Zeta Functions in Okinawa 2015
    • Place of Presentation
      沖縄コンベンションセンター
    • Year and Date
      2015-10-11
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] Euler products beyond the boundary2014

    • Author(s)
      Shin-ya Koyama
    • Organizer
      Number theory conference in honor of Peter Sarnak
    • Place of Presentation
      Shandong University, 中国
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] Euler products beyond the boundary for Selberg zeta functions2014

    • Author(s)
      Shin-ya Koyama and Fumika Suzuki
    • Organizer
      国際数学者会議(ICM)
    • Place of Presentation
      ソウル国際会議場
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] セルバーグ・ゼータ関数の深いリーマン予想2013

    • Author(s)
      Shin-ya Koyama and Fumika Suzuki
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] Euler products beyond the boundary for Selberg zeta functions2013

    • Author(s)
      Shin-ya Koyama and Fumika Suzuki
    • Organizer
      Zeta functions in Okinawa 2013
    • Place of Presentation
      沖縄コンベンションセンター
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] 一般化された置換のゼータ関数とその応用

    • Author(s)
      小山信也,中島さち子
    • Organizer
      日本数学会 秋季総合分科会
    • Place of Presentation
      信州大学(長野県)
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] アイゼンシュタイン級数の等分布性

    • Author(s)
      小山信也,中島さち子
    • Organizer
      日本数学会 年会
    • Place of Presentation
      東京理科大学(東京都)
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] Quantum ergodicity of Eisenstein series in the level aspect

    • Author(s)
      小山信也
    • Organizer
      Random matrix theory for complex systems
    • Place of Presentation
      沖縄科学技術大学院大学
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] 深いリーマン予想について

    • Author(s)
      小山信也
    • Organizer
      第9回福岡数論研究集会 in 別府
    • Place of Presentation
      アジア立命館大学(大分県)
    • Year and Date
      2014-09-01 – 2014-09-02
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] Error terms in the prime geodesic theorem

    • Author(s)
      小山信也
    • Organizer
      Zeta Functions in Okinawa 2014
    • Place of Presentation
      沖縄コンベンションセンター
    • Year and Date
      2014-10-24 – 2014-10-27
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] Equidistribution of Eisenstein series in the level aspect

    • Author(s)
      小山信也・中島さち子
    • Organizer
      Zeta Functions in Okinawa 2012
    • Place of Presentation
      フェストーネ(沖縄県)
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] Zeta functions of generalized permutations

    • Author(s)
      Shin-ya Koyama and Sachiko Nakajima
    • Organizer
      Zeta and Limit Laws in Okinawa 2011
    • Place of Presentation
      沖縄コンベンションセンター(沖縄県)
    • Data Source
      KAKENHI-PROJECT-23540031
  • [Presentation] 数論的量子カオスと量子エルゴード性

    • Author(s)
      小山信也
    • Organizer
      スペクトル理論と散乱理論
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540031
  • 1.  太田 克弘 (40213722)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  前田 吉昭 (40101076)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  仲田 均 (40118980)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  金井 雅彦 (70183035)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  石井 一平 (90051929)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  伊藤 雄二 (90112987)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  塩川 守賢 (00015835)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  西岡 久美子 (80144632)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  中西 正和 (60051760)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  田村 要造 (50171905)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  亀谷 幸生 (70253581)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  森吉 仁志 (00239708)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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