TSUMURA Hirofumi
教授
津村 博文 ツムラ ヒロフミ つむら ひろふみ
プロフィール
最終学歴・学位
東京都立大学大学院理学研究科数学専攻修士課程・博士[理学](1994年)
専門・研究分野
解析数論
研究
研究テーマ
多重ゼータ関数, 多重ベルヌーイ数の性質の研究
研究キーワード
多重ゼータ関数, 多重ベルヌーイ数・オイラー数
研究紹介
詳細情報
(著書)
●『代数学』(テキスト理系の数学 10) 数学書房, 2013年11月.
●The Theory of Zeta-Functions of Root Systems, Springer Monographs in Mathematics (SMM), Springer, 2023 (with Y. Komori and K. Matsumoto).
(編著)
● Algebraic and Analytic Aspects of Zeta Functions and L-functions, MSJ Memoirs, vol. 21 (eds. G. Bhowmik, K. Matsumoto and H. Tsumura), 日本数学会, 2010.
(最近の論文)
● Desingularization of complex multiple zeta-functions, Amer. J. Math. 139 (2017), 147--173 (with H. Furusho, Y. Komori and K. Matsumoto).
● Fundamentals of p-adic multiple L-functions and evaluation of their special values, Selecta Math. 23 (2017), 39--100 (with H. Furusho, Y. Komori and K. Matsumoto).
● On multiple series of Eisenstein type, Ramanujan J. 42 (2017), 479--489 (with H. Bachmann).
●Desingularization of multiple zeta-functions of generalized Hurwitz-Lerchtype and evaluation of p-adic multiple L-functions at arbitrary integers,in `Various aspects of multiple zeta values', K. Ihara (eds.), RIMS Kokyuroku Bessatsu B68, 2017, pp. 27-66 (with H. Furusho, Y. Komori and K. Matsumoto).
● On Arakawa-Kaneko zeta-functions associated with GL_2(C) and their functional relations, J. Math. Soc. Japan 70 (2018), 179--213 (with Y. Komori).
● Double series identities arising from Jacobi's identity of the theta function, Results Math. 73:10 (2018), 1--12.
● Multi-poly-Bernoulli numbers and related zeta functions, Nagoya Math. J. 232 (2018), 19--54 (with M. Kaneko).
● On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application, J. Theor. Nombres Bordeaux 30 (2018), 203--218 (with M. Kaneko and F. Sakurai).
● On series identities arising from Jacobi's identity of the theta function, Int. J. Number Theory 14 (2018), 1317--1327.
● Zeta-functions of root systems and Poincare polynomials of Weyl groups, Tohoku Math. J. 72 (2020), 87--126 (with Y. Komori and K. Matsumoto).
● An overview and supplements to the theory of functional relations for zeta-functions of root systems, Adv. Stud. Pure Math. 84, 2020, pp. 263--295 (with Y. Komori and K. Matsumoto).
● Zeta functions connecting multiple zeta values and poly-Bernoulli numbers, Adv. Stud. Pure Math. 84, 2020, pp. 181--204 (with M. Kaneko).
●On polycosecant numbers, J. Integ. Seq. 23 (2020), Art.20.6.4., 1--17 (with M. Kaneko and M. Pallewatta).
●On multiple zeta values of level two, Tsukuba J. Math. 44 (2020), 213--234 (with M. Kaneko).
●Double Dirichlet series associated with arithmetic functions, Kodai Math. J. 44 (2021), 437-456 (with K. Matsumoto and A. Nawashiro).
●Double Dirichlet series associated with arithmetic functions II, Kodai Math. J. 46 (2023), 10-30 (with K. Matsumoto).
●Multiple L-values of level four, poly-Euler numbers, and related zeta functions, Tohoku Math. J. 76 (2024), 361--389 (with M. Kaneko).
●『代数学』(テキスト理系の数学 10) 数学書房, 2013年11月.
●The Theory of Zeta-Functions of Root Systems, Springer Monographs in Mathematics (SMM), Springer, 2023 (with Y. Komori and K. Matsumoto).
(編著)
● Algebraic and Analytic Aspects of Zeta Functions and L-functions, MSJ Memoirs, vol. 21 (eds. G. Bhowmik, K. Matsumoto and H. Tsumura), 日本数学会, 2010.
(最近の論文)
● Desingularization of complex multiple zeta-functions, Amer. J. Math. 139 (2017), 147--173 (with H. Furusho, Y. Komori and K. Matsumoto).
● Fundamentals of p-adic multiple L-functions and evaluation of their special values, Selecta Math. 23 (2017), 39--100 (with H. Furusho, Y. Komori and K. Matsumoto).
● On multiple series of Eisenstein type, Ramanujan J. 42 (2017), 479--489 (with H. Bachmann).
●Desingularization of multiple zeta-functions of generalized Hurwitz-Lerchtype and evaluation of p-adic multiple L-functions at arbitrary integers,in `Various aspects of multiple zeta values', K. Ihara (eds.), RIMS Kokyuroku Bessatsu B68, 2017, pp. 27-66 (with H. Furusho, Y. Komori and K. Matsumoto).
● On Arakawa-Kaneko zeta-functions associated with GL_2(C) and their functional relations, J. Math. Soc. Japan 70 (2018), 179--213 (with Y. Komori).
● Double series identities arising from Jacobi's identity of the theta function, Results Math. 73:10 (2018), 1--12.
● Multi-poly-Bernoulli numbers and related zeta functions, Nagoya Math. J. 232 (2018), 19--54 (with M. Kaneko).
● On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application, J. Theor. Nombres Bordeaux 30 (2018), 203--218 (with M. Kaneko and F. Sakurai).
● On series identities arising from Jacobi's identity of the theta function, Int. J. Number Theory 14 (2018), 1317--1327.
● Zeta-functions of root systems and Poincare polynomials of Weyl groups, Tohoku Math. J. 72 (2020), 87--126 (with Y. Komori and K. Matsumoto).
● An overview and supplements to the theory of functional relations for zeta-functions of root systems, Adv. Stud. Pure Math. 84, 2020, pp. 263--295 (with Y. Komori and K. Matsumoto).
● Zeta functions connecting multiple zeta values and poly-Bernoulli numbers, Adv. Stud. Pure Math. 84, 2020, pp. 181--204 (with M. Kaneko).
●On polycosecant numbers, J. Integ. Seq. 23 (2020), Art.20.6.4., 1--17 (with M. Kaneko and M. Pallewatta).
●On multiple zeta values of level two, Tsukuba J. Math. 44 (2020), 213--234 (with M. Kaneko).
●Double Dirichlet series associated with arithmetic functions, Kodai Math. J. 44 (2021), 437-456 (with K. Matsumoto and A. Nawashiro).
●Double Dirichlet series associated with arithmetic functions II, Kodai Math. J. 46 (2023), 10-30 (with K. Matsumoto).
●Multiple L-values of level four, poly-Euler numbers, and related zeta functions, Tohoku Math. J. 76 (2024), 361--389 (with M. Kaneko).
平成25年度 科研費審査委員表彰(2013)
平成29年度 科研費審査委員表彰(2017)
平成29年度 科研費審査委員表彰(2017)
日本数学会(2009年度評議員, 2015年度代議員)
栃木県立足利高校SSH講演会講師(2012)
第9回 数理情報科学コロキウム@秋葉原 講師 (2013)
首都大学東京 第10回みやこ祭 公開講義 講師(2014)
科研費審査委員(2012-2013, 2016-2017)
JST創発 外部専門家委員(2021-2023)
第9回 数理情報科学コロキウム@秋葉原 講師 (2013)
首都大学東京 第10回みやこ祭 公開講義 講師(2014)
科研費審査委員(2012-2013, 2016-2017)
JST創発 外部専門家委員(2021-2023)
- 線形代数II a
- 代数学特論2
- 先端代数学特論2
- 組織再編前旧課程の同時開講科目等が含まれており、掲載されている全ての科目を開講するわけではありません。
関連HOT TOPICS
すべて見る連絡先
研究室
8号館674号室
メールアドレス
tsumura●tmu.ac.jp
(メールを送信される場合は●を@に変換してください)