Kimoto Kazufumi 木本一史

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KIMOTO Kazufumi 木本一史

木本一史キモトカズフミ

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Researcher Number	10372806
Other IDs
Affiliation (Current)	2026: 琉球大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2026: 琉球大学, 理学部, 教授 2018 – 2024: 琉球大学, 理学部, 教授 2015: 琉球大学, 理学部, 教授 2010 – 2014: 琉球大学, 理学部, 准教授 2008 – 2009: University of the Ryukyus, 理学部, 助教 2004 – 2006: 琉球大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related
Keywords	Principal Investigator スペクトルゼータ関数 / 特殊関数 / 表現論 / 非可換調和振動子 / 組合せ論 / 整数論 / 帯球関数 / パラメタ変形 / リース行列式 / アルファ行列式 … More / α行列式 / 特殊値 / 既約分解 / 数論 / プレシズム / ラテン方陣 / 多重ゼータ値 / スペクトルゼー関数 / モジュラー形式 / ゼータ正規化積 / ヴァンデルモンド型行列式 / 相対不変式 / 圏のラプラシアン Less

表現論的構造のパラメタ変形から生じる表現論・数論・組合せ論の研究Principal Investigator
- Principal Investigator
  
  木本一史
- Project Period (FY)
  2026 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of the Ryukyus
表現論的構造のパラメタ変形から生じる表現論・数論・組合せ論Principal Investigator
- Principal Investigator
  
  木本一史
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of the Ryukyus
Special functions and combinatorics arising from parametric deformations of representation-theoretical structuresPrincipal Investigator
- Principal Investigator
  
  Kimoto Kazufumi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of the Ryukyus
Study of special functions which are captured by parametric deformations of representation-theoretical structuresPrincipal Investigator
- Principal Investigator
  
  Kimoto Kazufumi
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of the Ryukyus
Study of special functions which arise from parametric deformations ofrepresentation-theoretical structuresPrincipal Investigator
- Principal Investigator
  
  KIMOTO Kazufumi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of the Ryukyus
Special values of the spectral zeta function for the noncommutative harmonic oscillator and modular formsPrincipal Investigator
- Principal Investigator
  
  KIMOTO Kazufumi
- Project Period (FY)
  2008 – 2009
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of the Ryukyus
無限次元群のゼータ関数と,付随する圏のラプラシアンのスペクトルの研究Principal Investigator
- Principal Investigator
  
  木本一史
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of the Ryukyus

[Book] International Symposium on Mathematics, Quantum Theory, and Cryptography2020
- Author(s)
  Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Yasuhiko Ikematsu
- Total Pages
  274
- Publisher
  Springer, Singapore
- Data Source
  KAKENHI-PROJECT-18K03248
[Journal Article] Partition functions for non-commutative harmonic oscillators and related divergent series2025
- Author(s)
  Kazufumi Kimoto and Masato Wakayama
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: 36 Issue: 1 Pages: 302-336
- DOI
  10.1016/j.indag.2024.05.011
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03272
[Journal Article] Highest weight vectors in plethysms, II2024
- Author(s)
  Kazufumi Kimoto and Soo Teck Lee
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 405 Issue: 10
- DOI
  10.1007/s00220-024-05115-2
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03272
[Journal Article] Two-variable zeta functions for graphs and Tutte polynomials2024
- Author(s)
  Kazufumi Kimoto
- Journal Title
  
  Ryukyu Mathematical Journal
  
  Volume: 37 Pages: 93-100
- Open Access
- Data Source
  KAKENHI-PROJECT-22K03272
[Journal Article] Remarks and examples on two-variable zeta functions for graphs2023
- Author(s)
  Kazufumi Kimoto
- Journal Title
  
  Ryukyu Mathematical Journal
  
  Volume: 36 Pages: 49-68
- Open Access
- Data Source
  KAKENHI-PROJECT-22K03272
[Journal Article] Wreath determinants, zonal spherical functions on symmetric groups and the Alon-Tarsi conjecture2022
- Author(s)
  Kazufumi Kimoto
- Journal Title
  
  Ryukyu Mathematical Journal
  
  Volume: 34 Pages: 5-19
- NAID
  120007182127
- Open Access
- Data Source
  KAKENHI-PROJECT-18K03248
[Journal Article] Linear relations for Bernoulli numbers and its application to congruences involving harmonic sums2022
- Author(s)
  Kazufumi Kimoto
- Journal Title
  
  Ryukyu Mathematical Journal
  
  Volume: 35 Pages: 1-11
- Open Access
- Data Source
  KAKENHI-PROJECT-18K03248
[Journal Article] Linear relations for Bernoulli numbers and its application to congruences involving harmonic sums2022
- Author(s)
  Kimoto Kazufumi
- Journal Title
  
  Ryukyu Mathematical Journal
  
  Volume: 35 Pages: 1-11
- Open Access
- Data Source
  KAKENHI-PROJECT-22K03272
[Journal Article] Apery-like numbers for non-commutative harmonic oscillators and automorphic integrals2020
- Author(s)
  K. Kimoto and M. Wakayama
- Journal Title
  
  Annals de l’Institut Henri Poincare - D
  
  Volume: - Issue: 2 Pages: 1-53
- DOI
  10.4171/aihpd/129
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03560, KAKENHI-PROJECT-22K03272, KAKENHI-PROJECT-18K03248
[Journal Article] Generalized Group-Subgroup Pair Graphs2020
- Author(s)
  Kimoto Kazufumi
- Journal Title
  
  Mathematics for Industry
  
  Volume: 33 Pages: 169-185
- DOI
  10.1007/978-981-15-5191-8_14
- ISBN
  9789811551901, 9789811551918
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03248
[Journal Article] Determinant expressions of constraint polynomials and the spectrum of the asymmetric quantum Rabi model2019
- Author(s)
  K. Kimoto, C. Reyes-Bustos and M. Wakayama
- Journal Title
  
  International Mathematics Research Notices (in PRINTING, 87 pages)
  
  Volume: - Issue: 12 Pages: 9458-9544
- DOI
  10.1093/imrn/rnaa034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05063, KAKENHI-PROJECT-18K03248, KAKENHI-PROJECT-20K03560
[Journal Article] Highest Weight Vectors in Plethysms2019
- Author(s)
  Kazufumi Kimoto and Soo Teck Lee
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: - Issue: 3 Pages: 1817-1841
- DOI
  10.1007/s00220-019-03639-6
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03248
[Journal Article] Wreath determinants for group-subgroup pairs2015
- Author(s)
  Kei Hamamoto, Kazufumi Kimoto, Kazutoshi Tachibana, Masato Wakayama
- Journal Title
  
  Journal of Combinatorial Theory, Series A
  
  Volume: 133 Pages: 76-96
- DOI
  10.1016/j.jcta.2015.02.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25610006, KAKENHI-PROJECT-25400044
[Journal Article] The Height of a Class in the Cohomology Ring of Polygon Spaces2013
- Author(s)
  Y. Kamiyama and K. Kimoto
- Journal Title
  
  Int. J. Math. Math. Sci.
  
  Volume: 2013 Pages: 1-7
- DOI
  10.1155/2013/305926
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400044
[Journal Article] Spectrum of non-commutative harmonic oscillators and residual modular forms2013
- Author(s)
  K. Kimoto and M. Wakayama
- Journal Title
  
  Noncommutative geometry and physics
  
  Volume: 3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540028
[Journal Article] Spectrum of non-commutative harmonic oscillators and residual modular forms2013
- Author(s)
  K. Kimoto and M. Wakayama
- Journal Title
  
  Noncommutative geometry and physics
  
  Volume: 3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400044
[Journal Article] Quantum α-determinants and q-deformations of hypergeometric polynomials2012
- Author(s)
  K. Kimoto
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540028
[Journal Article] Representation theory for a-determinant and zonal spherical functions2011
- Author(s)
  K. Kimoto
- Journal Title
  
  Tambov University Reports
  
  Volume: 16 Pages: 1690-1698
- Data Source
  KAKENHI-PROJECT-22540028
[Journal Article] Arithmetics derived from the non-commutative harmonic oscillator2010
- Author(s)
  K.Kimoto
- Journal Title
  
  Casimir Force, Casimir Operators and the Riemann Hypothesis
  
  Pages: 199-210
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540028
[Journal Article] A variation of multiple L-values arising from the spectral zeta function of the non-commutative harmonic oscillator.2009
- Author(s)
  K. Kimoto, Y. Yamasaki
- Journal Title
  
  Proc. Amer. Math. Soc. 137
  
  Pages: 2503-2515
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740021
[Journal Article] A variation of multiple L-values arising from the spectral zeta function of the non-commutative harmonic oscillator2009
- Author(s)
  K. Kimoto and Y. Yamasaki
- Journal Title
  
  Proceedings of the American Mathematical Society 137
  
  Pages: 2503-2515
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740021
[Journal Article] A variation of multiple L-values arising from the spectral zetafunction of the non-commutative harmonic oscillator2009
- Author(s)
  K.Kimoto, Y.Yamasaki
- Journal Title
  
  Proc.Amer.Math.Soc. 137
  
  Pages: 2503-2515
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740021
[Journal Article] Quantum α-determinant cyclic modules of $U_q(gl_n)$2007
- Author(s)
  K.Kimoto, M.Wakayama
- Journal Title
  
  J.Algebra (doi:10.1016/j.jalgebra.2006.12.015) (online)
- Data Source
  KAKENHI-PROJECT-16740021
[Journal Article] Invariant theory for singular α-determinants2007
- Author(s)
  K.Kimoto, M.Wakayama
- Journal Title
  
  J.Combin.Theory Ser.A (accepted)(未定)
- Data Source
  KAKENHI-PROJECT-16740021
[Journal Article] Ellptic curves arising from the spectral zeta function for non-commutative harmonic oscillators and γ_0(4)$-modular forms2007
- Author(s)
  K.Kimoto, M.Wakayama
- Journal Title
  
  Proc.Conf.L-functions(ed. L.Weng, M.Kaneko)(World Scientific)
  
  Pages: 201-218
- Data Source
  KAKENHI-PROJECT-16740021
[Journal Article] Multiple finite Riemann zeta functions2005
- Author(s)
  K.Kimoto, N.Kurokawa, S.Matsumoto, M.Wakayama
- Journal Title
  
  Acta Arithmetica 116,no.2
  
  Pages: 173-187
- Data Source
  KAKENHI-PROJECT-16740021
[Journal Article] Some examples of generalized zeta regularized products2004
- Author(s)
  K.Kimoto, N.Kurokawa, C.Sonoki, M.Wakayama
- Journal Title
  
  Kodai Mathematical Journal 27
  
  Pages: 321-335
- NAID
  130003574468
- Data Source
  KAKENHI-PROJECT-16740021
[Presentation] Spectrum of the noncommutative harmonic oscillator and number theory2023
- Author(s)
  Kazufumi Kimoto
- Organizer
  ICIAM 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03272
[Presentation] 行列式のパラメタ変形と表現論2021
- Author(s)
  木本一史
- Organizer
  2021年度表現論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K03248
[Presentation] 非可換調和振動子に現れるモジュラー性2019
- Author(s)
  木本一史・若山正人
- Organizer
  日本数学会2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03248
[Presentation] 完全グラフの正規化ラプラシアン行列に対するアルファ行列式の極限挙動2018
- Author(s)
  木本一史
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03248
[Presentation] Alpha-determinants and the Alon-Tarsi conjecture2016
- Author(s)
  Kazufumi Kimoto
- Organizer
  Tutorials and Workshop on New Developments in Representation Theory
- Place of Presentation
  Institute for Mathematical Sciences, National University of Singapore
- Year and Date
  2016-03-09
- Invited
- Data Source
  KAKENHI-PROJECT-25400044
[Presentation] 群・部分群対に対する群行列式の類似2015
- Author(s)
  木本一史・若山正人
- Organizer
  日本数学会2015年度秋期総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-15
- Data Source
  KAKENHI-PROJECT-25400044
[Presentation] リース行列式と対称関数2012
- Author(s)
  木本一史
- Organizer
  2012 年度日本数学会年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540028
[Presentation] リース行列式と対称関数2012
- Author(s)
  木本一史
- Organizer
  日本数学会2012年度年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540028
[Presentation] 非可換調和振動子のスペクトルゼータ値から生じるアペリ型数列の母関数の持つ階層構造2012
- Author(s)
  木本一史
- Organizer
  日本数学会2012年度年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540028
[Presentation] 非可換調和振動子のスペクトルゼータ値に現れるΓ(2)-モジュラー性2012
- Author(s)
  木本一史・若山正人
- Organizer
  日本数学会2012年度年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540028
[Presentation] 非可換調和振動子のスペクトルゼータ値から生じるアペリ型数列の母関数の階層構造について2012
- Author(s)
  木本一史
- Organizer
  2012 年度日本数学会年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540028
[Presentation] 非可換調和振動子のスペクトルゼータ値に現れる (2)-モジュラー性2012
- Author(s)
  木本一史,若山正人
- Organizer
  2012 年度日本数学会年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540028
[Presentation] 非可換調和振動子のスペクトルゼータ関数の特殊値について2009
- Author(s)
  木本一史
- Organizer
  日本数学会2009年度秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-26
- Data Source
  KAKENHI-PROJECT-20740021
[Presentation] 非可換調和振動子のスペクトルゼータ関数の特殊値について2009
- Author(s)
  木本一史
- Organizer
  2009年度日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-20740021
[Presentation] 行列式の２パラメタ変形と長方形指標公式
- Author(s)
  木本一史
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学（東京都）
- Data Source
  KAKENHI-PROJECT-25400044

1. 若山正人

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results

Kimoto Kazufumi 木本 一史

KIMOTO Kazufumi 木本 一史

木本 一史 キモト カズフミ

Research Projects

Research Products

Co-Researchers

表現論的構造のパラメタ変形から生じる表現論・数論・組合せ論の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

表現論的構造のパラメタ変形から生じる表現論・数論・組合せ論Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Special functions and combinatorics arising from parametric deformations of representation-theoretical structuresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of special functions which are captured by parametric deformations of representation-theoretical structuresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of special functions which arise from parametric deformations ofrepresentation-theoretical structuresPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Special values of the spectral zeta function for the noncommutative harmonic oscillator and modular formsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

無限次元群のゼータ関数と,付随する圏のラプラシアンのスペクトルの研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] International Symposium on Mathematics, Quantum Theory, and Cryptography2020

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] Partition functions for non-commutative harmonic oscillators and related divergent series2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Highest weight vectors in plethysms, II2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Two-variable zeta functions for graphs and Tutte polynomials2024

Author(s)

Journal Title

Data Source

[Journal Article] Remarks and examples on two-variable zeta functions for graphs2023

Author(s)

Journal Title

Data Source

[Journal Article] Wreath determinants, zonal spherical functions on symmetric groups and the Alon-Tarsi conjecture2022

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Linear relations for Bernoulli numbers and its application to congruences involving harmonic sums2022

Author(s)

Journal Title

Data Source

Kimoto Kazufumi 木本一史

KIMOTO Kazufumi 木本一史

木本一史キモトカズフミ