Hasegawa Takehiro 長谷川武博

Researcher Number	80409614
Other IDs	https://orcid.org/0000-0003-4566-5092
Affiliation (Current)	2024: 滋賀大学, 教育学系, 教授
Affiliation (based on the past Project Information) *help	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

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

Hasegawa Takehiro 長谷川 武博

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis of quantum chaos on sequences of growing graphs

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A function-field analogue of the Gauss hypergeometric function arising from Drinfeld modular curves over finite fieldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis of growing sequences of graphs in terms of quantum-classical correspondence and quantum chaos, and its applications

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Exploring the graph Riemann Hypothesis and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Systematic constructions of supersingular Drinfeld modulesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a Graph2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A note on the moments of the Kesten distribution2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Remarks on a paper by El-Guindy and Papanikolas2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A quantum probabilistic approach to Hecke algebras for p-adic PGL22018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A generalization of a graph theory Mertens’ theorem: Galois covering case2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On graph theory Mertens' theorems2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A generalization of the graph theory prime-number theorem of a finite graph2015

Author(s)

Journal Title

DOI

Data Source

Hasegawa Takehiro 長谷川武博

[Presentation] ドリンフェルト・モジュラー曲線の超特異点の個数2016