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Hasegawa Takehiro  長谷川 武博

Researcher Number 80409614
Other IDs
  • ORCIDhttps://orcid.org/0000-0003-4566-5092
Affiliation (Current) 2025: 滋賀大学, 教育学系, 教授
Affiliation (based on the past Project Information) *help 2025: 滋賀大学, 教育学系, 教授
2022 – 2023: 滋賀大学, 教育学系, 教授
2015 – 2021: 滋賀大学, 教育学部, 准教授
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related / Algebra
Except Principal Investigator
Basic Section 12030:Basic mathematics-related / Foundations of mathematics/Applied mathematics
Keywords
Principal Investigator
超幾何関数 / 超特異多項式 / ドリンフェルト加群 / モジュラー曲線 / 超越数 / 周期解釈 / モチーフ / 対数型超幾何関数 / 指数型超幾何関数 / ドリンフェルト・モジュラー曲線 … More / 有限体 / 関数体の塔 / 超特異点 / ドイリング型定理 / 代数的独立性 / 線型独立性 / カーリッツ加群 / モチーフ理論 / 特殊値 / 代数点 / Carlitz 加群 / ハッセ不変量 / 周期 / 多重対数関数 / 関数体版超幾何関数 / ポリログ / 関数等式 / 基本対称式 / 数論的三角群 / 志村曲線 / ドイリング多項式 / ドリンフェルト・モジュラー多様体 / 有理点 / 有限体上の関数体の塔 / 超特異ドリンフェルト加群 … More
Except Principal Investigator
ラマヌジャングラフ / 伊原ゼータ関数 / グラフ / 量子エルゴード性 / 固有ベクトル / Berry予想 / カスプ形式 / 逆正弦則 / ラプラシアン / グラフの増大列 / グラフの跡公式 / Ihara zeta function / 熱方程式 / 線形符号 / テータ関数 / 連続極限 / 格子 / ベッセル関数 / チェビシェフ多項式 / Catalan's triangle / モーメント / ランダムウォーク / 正則木 / ベーテ格子 / Kesten-McKay分布 / Kesten分布 / カタラン数 / 隣接行列 / フーリエ係数 / グラフ上の量子カオス / 正則グラフ / ゼータ関数 / 固有値分布 / ランダム正則グラフ / ヘッケ環 / 被覆群 / 被覆グラフ / リーマン予想 / 素サイクル Less
  • Research Projects

    (7 results)
  • Research Products

    (21 results)
  • Co-Researchers

    (4 People)
  •  関数体版超幾何関数を用いたドリンフェルト・モジュラー多様体の研究Principal Investigator

    • Principal Investigator
      長谷川 武博
    • Project Period (FY)
      2025 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Shiga University
  •  有限体上のドリンフェルト・モジュラー多様体の幾何学的背景Principal Investigator

    • Principal Investigator
      長谷川 武博
    • Project Period (FY)
      2022 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Shiga University
  •  Analysis of quantum chaos on sequences of growing graphs

    • Principal Investigator
      齋藤 正顕
    • Project Period (FY)
      2022 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Kogakuin University
  •  A function-field analogue of the Gauss hypergeometric function arising from Drinfeld modular curves over finite fieldsPrincipal Investigator

    • Principal Investigator
      Hasegawa Takehiro
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Shiga University
  •  Analysis of growing sequences of graphs in terms of quantum-classical correspondence and quantum chaos, and its applications

    • Principal Investigator
      Saito Seiken
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Kogakuin University
      Nagoya Bunri University
  •  Exploring the graph Riemann Hypothesis and its applications

    • Principal Investigator
      SAITO SEIKEN
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Nagoya Bunri University
      Waseda University
  •  Systematic constructions of supersingular Drinfeld modulesPrincipal Investigator

    • Principal Investigator
      Hasegawa Takehiro
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Shiga University

All 2022 2021 2020 2018 2017 2016 2015

All Journal Article Presentation

  • [Journal Article] Logarithmic-type and exponential-type hypergeometric functions for function fields2022

    • Author(s)
      Takehiro Hasegawa
    • Journal Title

      Journal of Number Theory

      Volume: 233 Pages: 87-111

    • DOI

      10.1016/j.jnt.2021.05.016

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03246, KAKENHI-PROJECT-19K03400
  • [Journal Article] The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a Graph2022

    • Author(s)
      Takehiro Hasegawa, Takashi Komatsu, Norio Konno, Hayato Saigo, Seiken Saito, Iwao Sato, Shingo Sugiyama
    • Journal Title

      Annals of Combinatorics

      Volume: Published online: 15 Nov. 2022 Issue: 2 Pages: 249-268

    • DOI

      10.1007/s00026-022-00617-z

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-22K03405, KAKENHI-PROJECT-20K14298, KAKENHI-PROJECT-19K03608, KAKENHI-PROJECT-22K03246
  • [Journal Article] A note on the moments of the Kesten distribution2021

    • Author(s)
      Takehiro Hasegawa, Seiken Saito
    • Journal Title

      Discrete Mathematics

      Volume: 344 Issue: 10 Pages: 112524-112524

    • DOI

      10.1016/j.disc.2021.112524

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03400, KAKENHI-PROJECT-19K03608
  • [Journal Article] Remarks on a paper by El-Guindy and Papanikolas2020

    • Author(s)
      Takehiro Hasegawa
    • Journal Title

      Ramanujan Journal

      Volume: 53 Issue: 1 Pages: 139-154

    • DOI

      10.1007/s11139-019-00214-4

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03400
  • [Journal Article] A quantum probabilistic approach to Hecke algebras for p-adic PGL22018

    • Author(s)
      Hasegawa Takehiro, Saigo Hayato, Saito Seiken, Sugiyama Shingo
    • Journal Title

      Infinite Dimensional Analysis, Quantum Probability and Related Topics

      Volume: 21 Issue: 03 Pages: 1850015-1850015

    • DOI

      10.1142/s0219025718500157

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05259
  • [Journal Article] A generalization of a graph theory Mertens’ theorem: Galois covering case2018

    • Author(s)
      Takehiro Hasegawa, Seiken Saito and Iwao Sato
    • Journal Title

      Forum Mathematicum

      Volume: Volume 30, Issue 3 Issue: 3 Pages: 599-615

    • DOI

      10.1515/forum-2016-0060

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05259, KAKENHI-PROJECT-15K17508
  • [Journal Article] On graph theory Mertens' theorems2016

    • Author(s)
      T. Hasegawa and S. Saito
    • Journal Title

      Graphs and Combinatorics

      Volume: 32 Issue: 5 Pages: 1915-1930

    • DOI

      10.1007/s00373-016-1710-2

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05259, KAKENHI-PROJECT-15K17508
  • [Journal Article] A generalization of the graph theory prime-number theorem of a finite graph2015

    • Author(s)
      Takehiro Hasegawa and Seiken Saito
    • Journal Title

      International Journal of Mathematics

      Volume: 26 Issue: 09 Pages: 1550071-1550071

    • DOI

      10.1142/s0129167x15500718

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Journal Article] A generalization of a graph theory Mertens' theorem: abelian covering case2015

    • Author(s)
      Takehiro Hasegawa, Seiken Saito and Iwao Sato
    • Journal Title

      The Quarterly Journal of Mathematics

      Volume: 66 Pages: 809-836

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] 関数体の明示的な志村塔:竹内のリストの応用2017

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      代数的整数論とその周辺
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] Explicit formula of a supersingular polynomial for rank-2 Drinfeld modules2017

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] Explicit formula of a supersingular polynomial for rank-2 Drinfeld modules2017

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      10th Workshop on Galois point and related topics
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] 有限集合の分割と関係する多変数恒等式2017

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      第91回米沢数学セミナー
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] 有限集合の分割と関係する多変数恒等式2017

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      新潟代数セミナー
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] 超特異ドリンフェルト加群を勘定する超特異多項式2016

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      日本応用数理学会
    • Place of Presentation
      北九州国際会議場
    • Year and Date
      2016-09-12
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] 超特異ドリンフェルト加群を勘定する超特異多項式2016

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      新潟大学
    • Year and Date
      2016-06-03
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] 超特異ドリンフェルト加群を勘定する超特異多項式2016

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      米沢数学セミナー
    • Place of Presentation
      山形大学
    • Year and Date
      2016-07-02
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] ドリンフェルト・モジュラー曲線 の超特異点の個数2016

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      早稲田大学整数論セミナー
    • Place of Presentation
      早稲田大学
    • Year and Date
      2016-11-25
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] Constructions of Drinfeld modular towers2015

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      Workshop on Galois point and related topics
    • Place of Presentation
      神奈川大学
    • Year and Date
      2015-09-05
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] Constructions of Drinfeld modular towers2015

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      神楽坂代数セミナー
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-10-13
    • Data Source
      KAKENHI-PROJECT-15K17508
  • [Presentation] Constructions of Drinfeld modular towers2015

    • Author(s)
      Takehiro Hasegawa
    • Organizer
      今野・竹居研究室セミナー
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2015-12-15
    • Data Source
      KAKENHI-PROJECT-15K17508
  • 1.  SAITO SEIKEN (90525164)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 4 results
  • 2.  西郷 甲矢人 (80615154)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 3.  杉山 真吾 (70821817)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 4.  谷口 哲也 (90625500)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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