Shibukawa Genki 渋川元樹

… Alternative Names

渋川元樹シブカワゲンキ

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Researcher Number	60737740
Other IDs
Affiliation (Current)	2025: 北見工業大学, 工学部, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2023: 神戸大学, 理学研究科, 特命助教 2021: 神戸大学, 理学研究科, 学術研究員
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related
Keywords	Principal Investigator 特殊値 / 表現論 / q差分方程式 / 調和解析 / 可積分系 / 対称函数 / 特殊函数

Research Projects
(1 results)
Research Products
(39 results)

対称函数の基本公式の研究Principal Investigator
- Principal Investigator
  
  渋川元樹
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kobe University

All 2024 2023 2022 2021

All Journal Article Presentation

[Journal Article] Curious congruences for cyclotomic polynomials II2024
- Author(s)
  Toshiki Matsusaka and Genki Shibukawa
- Journal Title
  
  Res. Number Theory
  
  Volume: 10:3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] エレガントな解答をもとむ【出題】2024
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 749
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] 特殊函数としてのZwegers μ 函数2024
- Author(s)
  渋川元樹
- Journal Title
  
  早稲田大学整数論研究集会2023報告集
  
  Volume: --
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] エレガントな解答をもとむ【解答】2023
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 742
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] A Generalization of Zwegers' μ-Function According to the q -Hermite-Weber Difference Equation2023
- Author(s)
  Shibukawa Genki、Kobe University, Japan、Tsuchimi Satoshi、Kobe University, Japan
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 19
- DOI
  10.3842/sigma.2023.014
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] エレガントな解答をもとむ【出題】2023
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 739
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] セルバーグ積分, 超幾何系, 組合せ論零点定理2022
- Author(s)
  金子譲一述、渋川元樹記
- Journal Title
  
  超幾何学校講義録その 3
  
  Volume: 3
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] エレガントな解答をもとむ【出題】2022
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 727
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] エレガントな解答をもとむ【解答】2022
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 730
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] Macdonald 多項式 -アフィン Hecke 環からのアプローチ-2022
- Author(s)
  野海正俊述、渋川元樹-宮永愛子記
- Journal Title
  
  超幾何学校講義録その 3
  
  Volume: 3
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] 超幾何と共型場再訪2022
- Author(s)
  山田泰彦述, 渋川元樹-信川喬彦記
- Journal Title
  
  超幾何学校講義録その 3
  
  Volume: 3
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] A revisit to periodic continuants2021
- Author(s)
  Genki Shibukawa
- Journal Title
  
  Josai Mathematical Monographs
  
  Volume: 13
- NAID
  120007027892
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] Higher order difference equations for interpolation Jack polynomials2021
- Author(s)
  Genki Shibukawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 87
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] q と楕円函数2021
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 720
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] エレガントな解答をもとむ【出題】2021
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 715
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] エレガントな解答をもとむ【解答】2021
- Author(s)
  渋川元樹
- Journal Title
  
  数学セミナー
  
  Volume: 718
- Data Source
  KAKENHI-PROJECT-21K13808
[Journal Article] An explicit formula of powers of 2 × 2 quantum matrices2021
- Author(s)
  渋川元樹
- Journal Title
  
  第 6 回 Algebraic Lie Theory and Representation Theory 報告集
  
  Volume: 6
- Open Access
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Zwegers' $\mu $-function as special functions (joint with S. Tsuchimi)2024
- Author(s)
  渋川元樹
- Organizer
  第17回ゼータ若手研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Ruijsenaars 型恒等式とその応用2024
- Author(s)
  野海正俊-渋川元樹
- Organizer
  日本数学会2024年度年会
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] $\mu $ 函数(再)入門第１部基礎編 (joint with S. Tsuchimi)2024
- Author(s)
  渋川元樹
- Organizer
  研究集会 $q$級数とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] $\mu $ 函数(再)入門第１部基礎編 (joint with S. Tsuchimi)2023
- Author(s)
  渋川元樹
- Organizer
  第29回北海道特殊関数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] The generalized Zwegers' $\mu$-function and transformation formulas for the bilateral basic hypergeometric series2023
- Author(s)
  渋川元樹-土見怜史
- Organizer
  2023日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Zwegers' $\mu $-function as special functions (joint with S. Tsuchimi)2023
- Author(s)
  渋川元樹
- Organizer
  2023早稲田整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] 対称函数の特殊値と定数係数二階線型常差分方程式の解の単調性2023
- Author(s)
  渋川元樹
- Organizer
  2023大分宮崎整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Ruijsenaars-type identities and their applications (joint with M. Noumi)2023
- Author(s)
  Genki Shibukawa
- Organizer
  The Mathematical Society of Japan 2023, Elliptic Integrable Systems, Representation Theory and Hypergeometric Functions (The 16th MSJ-SI)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] 特殊函数としての Zwegers $\mu $ 函数 (joint with S. Tsuchimi)2023
- Author(s)
  渋川元樹
- Organizer
  第63回関西多重ゼータ研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Ruijsenaars-type identities and commutativity of some difference operators (joint with M. Noumi)2023
- Author(s)
  渋川元樹
- Organizer
  超幾何方程式研究会 2023
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Some monotonic properties of special values of the bivariate complete homogeneous symmetric polynomials2023
- Author(s)
  渋川元樹
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] A generalization of Zwegers' $\mu$-function according to the $q$-Hermite-Weber difference equation2022
- Author(s)
  渋川元樹-土見怜史
- Organizer
  2022日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] 対称函数の研究 --基本公式, 特殊値及びその応用--2022
- Author(s)
  渋川元樹
- Organizer
  神戸大学大学院理学研究科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Artin-style characterizations for multiple gamma and sine functions2022
- Author(s)
  渋川元樹
- Organizer
  日本数学会 2022 年度年会
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Chern-Simons 行列模型の計算とその周辺2022
- Author(s)
  渋川元樹
- Organizer
  超幾何研究会 2022
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Some trigonometric products (joint with M. Aoki)2022
- Author(s)
  渋川元樹
- Organizer
  九大代数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Some trigonometric products (joint with M. Aoki)2022
- Author(s)
  渋川元樹
- Organizer
  三角函数研究会
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] An explicit formula of powers of 2 × 2 quantum matrices2021
- Author(s)
  渋川元樹
- Organizer
  函数方程式論サマーセミナー 2021
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] An explicit formula of powers of 2 × 2 quantum matrices2021
- Author(s)
  渋川元樹
- Organizer
  2021 日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] 初期値一般の定数係数線型常差分及び微分方程式の一般解2021
- Author(s)
  渋川元樹
- Organizer
  非線形波動と可積分系
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] An explicit formula of powers of 2 × 2 quantum matrices2021
- Author(s)
  渋川元樹
- Organizer
  第6回代数的 Lie 理論および表現論
- Data Source
  KAKENHI-PROJECT-21K13808
[Presentation] Artin-style characterizations for multiple gamma and sine functions2021
- Author(s)
  渋川元樹
- Organizer
  RIMS 研究集会解析的整数論とその周辺
- Data Source
  KAKENHI-PROJECT-21K13808

Shibukawa Genki 渋川 元樹

渋川 元樹 シブカワ ゲンキ

Research Projects

Research Products

対称函数の基本公式の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Curious congruences for cyclotomic polynomials II2024

Author(s)

Journal Title

Data Source

[Journal Article] エレガントな解答をもとむ【出題】2024

Author(s)

Journal Title

Data Source

[Journal Article] 特殊函数としてのZwegers μ 函数2024

Author(s)

Journal Title

Data Source

[Journal Article] エレガントな解答をもとむ【解答】2023

Author(s)

Journal Title

Data Source

[Journal Article] A Generalization of Zwegers' μ-Function According to the q -Hermite-Weber Difference Equation2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] エレガントな解答をもとむ【出題】2023

Author(s)

Journal Title

Data Source

[Journal Article] セルバーグ積分, 超幾何系, 組合せ論零点定理2022

Author(s)

Journal Title

Data Source

[Journal Article] エレガントな解答をもとむ【出題】2022

Author(s)

Journal Title

Data Source

[Journal Article] エレガントな解答をもとむ【解答】2022

Author(s)

Journal Title

Data Source

[Journal Article] Macdonald 多項式 -アフィン Hecke 環からのアプローチ-2022

Author(s)

Journal Title

Data Source

[Journal Article] 超幾何と共型場再訪2022

Author(s)

Journal Title

Data Source

[Journal Article] A revisit to periodic continuants2021

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Higher order difference equations for interpolation Jack polynomials2021

Author(s)

Journal Title

Data Source

[Journal Article] q と楕円函数2021

Author(s)

Journal Title

Data Source

[Journal Article] エレガントな解答をもとむ【出題】2021

Author(s)

Journal Title

Data Source

[Journal Article] エレガントな解答をもとむ【解答】2021

Author(s)

Journal Title

Data Source

[Journal Article] An explicit formula of powers of 2 × 2 quantum matrices2021

Author(s)

Journal Title

Data Source

Shibukawa Genki 渋川元樹

渋川元樹シブカワゲンキ

[Presentation] $\mu $ 函数(再)入門第１部基礎編 (joint with S. Tsuchimi)2024

[Presentation] $\mu $ 函数(再)入門第１部基礎編 (joint with S. Tsuchimi)2023