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KUROKAWA NOBUSHIGE  黒川 信重

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KUROKAWA Nobushige  黒川 信重

黒川 信重

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Researcher Number 70114866
External Links
Affiliation (based on the past Project Information) *help 2015: 東京工業大学, 大学院理工学研究科, 教授
2009 – 2010: 東京工業大学, 大学院・理工学研究科, 教授
2007: Tokyo Institute of Technology, Graduate School of Science, Professor
2006: Tokyo Institute of Technology, Grad.school of Sci. and Tech., Professor., 大学院理工学研究科, 教授
1998 – 2005: Guraduate School of Science and Engineering, Tokyo Institute of Technology, Prof, 大学院・理工学研究科, 教授 … More
2001: 九州大学, 大学院・理工学研科, 教授
2001: 東京工業大学, 理工学研究科, 教授
1994 – 1998: 東京工業大学, 理学部, 教授
1997: 東京工業大学, 理学部数学科, 教授
1992 – 1993: 東京大学, 大学院・数理科学研究科, 助教授
1992: 東京大学, 大学院数理学科研究科, 助教授
1992: Univ.of Tokyo,Dept.of Math.Sciences, 大学院数理科学研究科, 助教授
1991: 東京大学, 理学部, 助教授
1988: 東京工業大学, 理学部, 助教授
1986: 東京工業大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / 代数学・幾何学
Except Principal Investigator
Algebra / Algebra / 解析学 / 代数学・幾何学 / Geometry
Keywords
Principal Investigator
ゼータ関数 / exceptional singularity / index of singularity / zeta function / 多重三角関数 / 絶対テンソル積 / 代数多様体 / Jackson-Mellin transform / Euler integral / Mahler measure … More / Casimir energy / Jackson integral / Kinkelin formula / multiple sine function / 多重ガンマ関数 / カタラン定数 / 量子化 / 超越性 / 代数性 / ジャクソン・メリン変換 / オイラー定積分 / マーラー測度 / カシミール・エネルギー / ジャクソン積分 / キンケリン公式 / modular L-function / log-canonical singularity / Zeta function / birational geometry / Zariski decomposition / index / toric variety / Singularities / 保型L関数 / 対数的標準特異点 / arithmetical algebraic geometry / unified theory / spectrum / category / 保型表現 / 力学系 / 数論的代数幾何学 / 統一理論 / スペクトル / 圏 / 高次オイラー因子 / 絶対数論 / 正規積 / 絶対数学 / 行列式 / 多重サイン関数 / スペクトル理論 / リーマン多様体 / 代数的基本群 / コホモロジー … More
Except Principal Investigator
特異点 / 表現論 / 保型形式 / ゼータ正規化積 / ゼータ関数 / 極小モデル / 複素積分 / 離散群 / セルバーグ型積分 / ねじれサイクル / 一般超幾何函数 / モノドロミー / 超幾何函数 / 接続問題 / 跡公式 / セルバーグゼータ関数 / リーマンゼータ関数 / 偏極多様体 / 対数構造 / 楕円曲線 / 代数多様体 / conformal field theory / 共形場理論 / Riemann zeta function / q-analogue / zeta regularized product / q-類似 / 非可換調和振動子 / スペクトルゼータ関数 / L-functions / L関数 / algebraic cycles / 高次Abel-Jacobi写像 / Chow群 / Hodge理論 / 代数的サイクル / zeta function / 量子不変量 / フックス型微分方程式 / 既約性 / モノドロミー表現 / ジョーンズ多項式 / 交叉数 / ねじれホモロジー / リーマンゼータ / カシミール効果 / 随伴直線束 / 半安定退化 / 直交多項式 / Mehta積分 / Selberg積分 / Appell / Mehta積分 / Selberg型積分 / ルート系に付随する超幾何函数 / 回路行列 / ロンスキアン / 超幾何積分 / Discrete Groups / Automorphic Forms / Ap'ery numbers / modular forms / elliptic curves / spectral zeta function / non-commutative harmonic oscillators / 量子群 / パフィアンの和公式 / ホイン微分方程式 / 特殊値 / リーマンのゼータ関数 / アペリ数 / resonant condition / zeta regularized products / Jones polynomials / configuration space / Selberg type integral / intersection numbers / twisted cycles / 寺田模型 / q超幾何級数 / 交差数 / ゼータ正規化 / 代数解析 / セルバーグ積分 / 捩れサイクル / 共鳴状態 / 共鳴条件 / 配置空間 / Discerete groups / Automorphic forms / Eisenstein series / アイゼンシュタイン級数 / correlation functions / intersection forms / hypergeometric functiom / complex integrals / twisted homology group / representation theory / 球函数 / KZ方程式 / ツイストサイクル / 組み紐群 / 岩堀・ヘッケ環 / ゼータ函数 / 共刑場理論 / ゼーダ函数 / 相関函数 / 交差形式 / determinant expression / non-commutative harmonicoscillator / specter zeta function / Selberg zeta function / trace formula / ホロノミー / 不変微分作用素 / Capelli恒等式 / Pfaffian / セルバーグ・ゼータ関数 / パフィアン / 局所対称空間 / 関数等式 / オイラー定義 / セルバーグゼータ / 行列式表示 / logarithmic Torelli problem / higher Chow groups / Beilinson conjectures / mixed motives / higher Abel-Jaoci map / Hodge theory / p-adic Hodge theory / higer class field theory / (8)Abelの定理 / (7)周期写像 / (6)K群 / (5)Torelli問題 / (4)特異点 / モチフィック・コホモロジー / Abelの定理の高次元化 / P-進Hodye理論 / Hodye理論 / モチーフ / 高次チャウ群 / ベイリンソン予想 / 混合モチーフ / 高次アーベル・ヤコビ写像 / ホッヂ理論 / P進ホッヂ理論 / 高次元類体論 / Discrete groups / Atomorphic forms / algebraic surfaces / toric variety / singularities / blow up / 超曲面 / 代数曲面 / トーリック多様体 / Hodge structure / Abel's theorem / Abel-Jacobi map / Chow gruop / トレリ問題 / 混合ホッヂ構造 / Griffiths群 / ノーマル ファンクション / Griffithsの定理 / Abol-Jacobi写像 / 周期積分 / ホッヂ構造 / アーベルの定理 / アーベル・ヤコビ写像 / チャウ群 / Kodaira energy / adjoint bundle / polarized varieties / 対数偏極多様体 / adjoint fibration / 随伴線形系 / 小平エネルギー / Algebraic variety / Singularity / Minimal hypersurface / Futaki Character / Einstein metrics / 対称空間 / 極小超曲面 / 二木指標 / アインシュタイン計量 / Inverse Problems / Concentration Phenomena / Hyperplanes Arrangements / Hyperbolic Geometries / Cone Manifolds / Types and Proof Theory / Nonlinear evolution equations / Real Analytic Methods / レフシェッツ環 / 群作用 / 無限学の解析 / 代数解析学と表現論 / 実解析的手法 / 非線型発展方程式 / 反応拡散系 / モーメント写像 / 型・証明論 / 量子アフィン代数 / 型図子 / 迷問題 / 錐多様体 / 逆問題 / 集中現象 / 超平面配置 / 双曲幾何 / 錘多様体 / 型及び証明論 / 非線形発展方程式 / 実解析的方法 / Galois representation / Hecke character / log rithmic structure / minimal model / semistable reduction / number theory / algebraic varieties / 基本群 / 局所定数 / 形式群 / 岩沢理論 / P進Hodge理論 / ゼ-タ関数 / 数論的代数幾何 / ガロア表現 / ヘッケ指標 / 整数論 / 不変量 / 曲面バンドル特性類 / 接触構造 / ランダムウォーク / 汎函数 / Feynman経路積分 / ファイバー朿 / 特性類 / カスプ特異点 / オイラ積弦理論 / モーデル予想 / 振動膜 / シュビンガ-タイソン方程式 / WKB法 / 特異点解消 / ニュートン図型 / 位相不変量 / 非線型分岐 / 多重対数関数 / 周期 / 多重三角関数 / D加群 / ルート系 / L函数 / スペクトル分解 / 保形形式 / 超幾何関数 / 解析数論 / マーラー測度 / 多重三角函数 / qラカー多項式 / 微分方程式 / 確定特異点型微分方程式 / アクセサリパラメタ / 積分表示解 / ローリッツェンのF_D函数 / アッペルのF_1函数 / ガウス超幾何函数 / ヘッケ代数 / 積分表示 / シャンクス予想 / アルゴリズム帰着 / ペアリング反転 / 明示公式 / 有限体 / 公開鍵暗号 / ρ値 / 離散対数問題 / 楕円曲線暗号 / ペアリング / 素元定理 / 絶対数学 / セルドーグゼータ / ソーマン面 / 絶対微分 / オイラー積 / 絶対テンソル積 / カシミール元 / 双曲多様体 / モジュライ空間 / 極小モデル理論 / 絶対スキーム / 正規交差 / 標準モデル / 3次元 / 数論的スキーム / 正標数 / ファイバー空間 / 複素多様体 Less
  • Research Projects

    (32 results)
  • Research Products

    (75 results)
  • Co-Researchers

    (55 People)
  •  Recent development of special functions from the viewpoint of the representation theory and the integrals in complex variables

    • Principal Investigator
      MIMACHI KATSUHISA
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
      Tokyo Institute of Technology
  •  Recent development of special functions from the viewpoint of representation theory and integrals of complex variables

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  多変数マーラー測度の研究

    • Principal Investigator
      OCHIAI Hiroyuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
      Nagoya University
  •  On security of pairing based elliptic curve cryptosystems in view of number theory

    • Principal Investigator
      SATOH Takakazu
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Zeta functions and multiple sine functionsPrincipal Investigator

    • Principal Investigator
      KUROKAWA Nobushige
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Arithmetic of Automorphic Forms and Discrete Groups

    • Principal Investigator
      MIZUMOTO Shin-ichiro
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  絶対数論の基礎研究Principal Investigator

    • Principal Investigator
      黒川 信重
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Recent development of special functins … an approach from the representation thery and the complex integrals

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technoroly
  •  Study of zeta functions and duality - "infinite sum=infinite product" based on the trace formulas viewpoint

    • Principal Investigator
      WAKAYAMA Masato
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERCITY
  •  Research on Eisenstein series

    • Principal Investigator
      MIZUMOTO Shin-ichiro
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  カシミール効果のカシミール元と素元分布による研究

    • Principal Investigator
      WAKAYAMA Masato
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  Recent development of special functios ----an approach from the representation thery and the complex integrals

    • Principal Investigator
      MIMACHI Katsuhisa
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Algebraic Cycles on Algebraic Varieties

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
      Tokyo Institute of Technology
  •  Study of dualities - "infinite sum = infinite product" and representations from the trace formulas viewpoint

    • Principal Investigator
      WAKAYAMA Masato
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  STUDY ON SINGULARITIES OF VARIETIESPrincipal Investigator

    • Principal Investigator
      KUROKAWA Nobushige, 石井 志保子
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  Studies on unified theory of zeta functionsPrincipal Investigator

    • Principal Investigator
      KUROKAWA Nobushige
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Research on nearly holomorphic modular forms

    • Principal Investigator
      MIZUMOTO Shin-ichiro
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Classification and structure of polarized varieties

    • Principal Investigator
      FUJITA Takao
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Algebraic Cycles on Algebraic Varieties

    • Principal Investigator
      SAITO Shuji
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Singularities on complex varieties

    • Principal Investigator
      ISHII Shihoko
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO INSTITUTE OF TECHNOLOGY
  •  SEEKING FURTHER POSSIBILITIES OF MATHEMATICS

    • Principal Investigator
      YOSHIKAWA Atsushi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  Uniformization Theorems on Manifolds

    • Principal Investigator
      FUTAKI Akito
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  数論的代数幾何学の研究

    • Principal Investigator
      福田 拓生
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  ゼータ関数と正規積の研究Principal Investigator

    • Principal Investigator
      黒川 信重
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  ゼータ関数の研究Principal Investigator

    • Principal Investigator
      黒川 信重
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  楕円ファイバー空間の構造

    • Principal Investigator
      NAKAYAMA Noboru
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  高次元代数多様体の分類理論

    • Principal Investigator
      川又 雄二郎
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  ゼータ関数の数論幾何学的研究Principal Investigator

    • Principal Investigator
      黒川 信重
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  ゼータ関数の研究Principal Investigator

    • Principal Investigator
      黒川 信重
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      The University of Tokyo
  •  Number theory of algebraic varieties

    • Principal Investigator
      KAWAMATA Yujiro, 加藤 和也
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      University of Tokyo
  •  汎関数解析の位相解析的研究

    • Principal Investigator
      藤原 大輔
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Tokyo Institute of Technology
  •  特異点の研究

    • Principal Investigator
      福田 拓生
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Institute of Technology

All 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] Adventures to Euler (in Japanese)2007

    • Author(s)
      N., Kurokawa
    • Total Pages
      190
    • Publisher
      Springer-Japan Tokyo
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Book] オイラー探検2007

    • Author(s)
      黒川信重
    • Total Pages
      190
    • Publisher
      岩波書店
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Book] オイラー探検:無限大の滝と12連峰2007

    • Author(s)
      黒川信重
    • Total Pages
      180
    • Publisher
      シュプリンガー・ジャパン
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Book] オイラー、リーマン、ラマヌジャン2006

    • Author(s)
      黒川信重
    • Total Pages
      120
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Book] 数論I2005

    • Author(s)
      加藤和也, 黒川信重, 斉藤毅
    • Total Pages
      385
    • Publisher
      岩波書店
    • Data Source
      KAKENHI-PROJECT-15654003
  • [Journal Article] A multivariable Euler product of Igusa type and its applications2009

    • Author(s)
      N. Kurokawa, H. Ochiai
    • Journal Title

      J. Number Theory 129

      Pages: 1919-1930

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Journal Article] A multivariable Euler product of Igusa type and its applications2009

    • Author(s)
      Nobushige Kurokawa, Hiroyuki Ochiai
    • Journal Title

      Journal of Number Theory 129

      Pages: 1919-1930

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654003
  • [Journal Article] Spectra of alternating Hilbert operators2009

    • Author(s)
      Nobushige Kurokawa, Hiroyuki Ochiai
    • Journal Title

      Contemporary Mathematics 484

      Pages: 89-101

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654003
  • [Journal Article] Automorphy of the principal Eisenstein series of weight 1: an application of the double sine function2009

    • Author(s)
      N. Kurokawa
    • Journal Title

      Kodai Math. J. 32

      Pages: 391-403

    • NAID

      130004687912

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Journal Article] Limit values of Eisenstein series and multiple cotangent functions2008

    • Author(s)
      Nobushige Kurokawa
    • Journal Title

      Journal of Number Theory 128

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Limit values of Eisenstein series and multiple cotangent functions2008

    • Author(s)
      N. Kurokawa
    • Journal Title

      J. Number Theory 128

      Pages: 1775-1783

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Journal Article] Euclid prime sequences over unique factorization domains2008

    • Author(s)
      N. Kurokawa, T. Satoh
    • Journal Title

      17

      Pages: 145-152

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Journal Article] Higher Mahler measures and zeta functions2008

    • Author(s)
      Nobushige Kurokawa, Matilde Lalin, Hiroyuki Ochiai
    • Journal Title

      Acta Arithmetica 135

      Pages: 269-297

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654003
  • [Journal Article] Multiple Eisenstein series and multiple cotangent functions2008

    • Author(s)
      S. Koyama, N. Kurokawa
    • Journal Title

      J. Number Theory 128

      Pages: 1769-1774

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Journal Article] Euclid prime sequences over unique factorization domains2008

    • Author(s)
      N. Kurokawa, T. Satoh
    • Journal Title

      Exp. Math. 17

      Pages: 145-152

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Journal Article] Limit values of Eisenstein series and multiple Cotangent functions2008

    • Author(s)
      N., Kurokawa
    • Journal Title

      J.Number Theory 128

      Pages: 1775-1783

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Generalized Kinkelin's formulas2007

    • Author(s)
      Kurokawa, Nobushige; Ochiai, Hiroyuki
    • Journal Title

      Kodai Math. J. 30

      Pages: 195-212

    • NAID

      130004948982

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654003
  • [Journal Article] Generalized Kinkelin's formula2007

    • Author(s)
      N. Kurokawa, H. Ochiai
    • Journal Title

      Kodai Math. Journal 30

      Pages: 195-212

    • NAID

      130004948982

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Journal Article] Zeta functions and Casimir energies on Infinite symmetric groups2007

    • Author(s)
      N., Kurokawa, H., Ochiai
    • Journal Title

      Com. Math.Univ.St.Pauli 56

      Pages: 11-25

    • NAID

      110007689219

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Jackson-Mellin's transform of modular forms and q-zeta functions2007

    • Author(s)
      Haran, Shai; Kurokawa, Nobushige; Wakayama, Masato
    • Journal Title

      Kyushu Journal of Mathematics 61

      Pages: 551-563

    • NAID

      110006377579

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Zeta functions and Casimir energies on infinite symmetric groups2007

    • Author(s)
      Kurokawa, Nobushige; Oyanagi, Hideo
    • Journal Title

      Commentari. Math. Univ. St. Pauli 56

      Pages: 11-25

    • NAID

      110007689219

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Jackson's integral of the Hurwitz zeta function2007

    • Author(s)
      Nobushige Kurokawa, K.Mimachi, Masato Wakayama
    • Journal Title

      Rendiconti del circolo atematico di Palermo 56

      Pages: 43-56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] A Jackson integral analogue of Euler's logarithmic sine integral2007

    • Author(s)
      N. Kurokawa, K. Mimachi, M. Wakayama
    • Journal Title

      Rendiconti del Circolo Matematico di Palermo 56

      Pages: 43-56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340004
  • [Journal Article] Generalized Mahler measures and zeta functions2007

    • Author(s)
      Gon, Yasuro; Kurokawa, Nobushige; Oyanagi, Hideo
    • Journal Title

      Journal of Number Theory 124

      Pages: 328-345

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Generalized Kinkelin's formula2007

    • Author(s)
      Kurokawa, Nobushige; Ochiai, Hiroyuki
    • Journal Title

      Kadai Mathematical Journal 30

      Pages: 195-212

    • NAID

      130004948982

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Zeta functions and Casimir energies on infinite symmetric groups2007

    • Author(s)
      N. Kurokawa, H. Ochiai
    • Journal Title

      Commentari. Math. Univ. St. Pauli 56

    • NAID

      110007689219

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] A Jackson integral analogue of Euler's logarithmic sine integral2007

    • Author(s)
      Kurokawa, Nobushige; Mimachi, Katsuhisa; Wakayama, Masato
    • Journal Title

      Rendiconti del Circolo Matematico di Palermo 56

      Pages: 43-56

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Zeta functions and Casimir energies on infinite symmetric groups2007

    • Author(s)
      Kurokawa, Nobushige; Ochiai, Hiroyuki
    • Journal Title

      Comment. Math. Univ. St. Pauli 56

      Pages: 11-25

    • NAID

      110007689219

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654003
  • [Journal Article] Algebraicity and transcendency of basic special values of Shintani's double sine functions2006

    • Author(s)
      K.Kurokawa, M.Wakayama
    • Journal Title

      Proc. Edingburgh Mathematical Society 49

      Pages: 361-366

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Milnor's multiple gamma functions2006

    • Author(s)
      N.Kurokawa, H.Ochiai, M.Wakayama
    • Journal Title

      J. Ramanujan Mathematical Society 21

      Pages: 153-167

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Milnor's multiple gamma functions2006

    • Author(s)
      N.Kurokawa, H.Ochiai, M.Wakayama
    • Journal Title

      Jour. Ramanujan Math. Soc. 21

      Pages: 153-167

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Algebraicity and transcendency of basic special values of Shintani's double sine functions2006

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Proc. Edinburgh Mathematical Society 49

      Pages: 361-366

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Milnor's multiple gamma functions2006

    • Author(s)
      N.Kurokawa, H.Ochiai, M.Wakayama
    • Journal Title

      J.Ramanujan Mathematical Society 21

      Pages: 153-167

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Algebraicity and transcendency of basic special values of Shintani's double sine functions2006

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Proc.Edinburgh Mathematical Society 49

      Pages: 361-366

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Quantum deformations of Catalan's constant, Mahler's measures, and Holder-Shintani's double sine function2006

    • Author(s)
      Nobushige Kurokawa
    • Journal Title

      Proc. Edinb. Math. Soc. 49

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Quantum deformations of Catalan's constant Mahler's measures, and Holder-Shintani's double sine function2006

    • Author(s)
      N., Kurokawa
    • Journal Title

      Proc.Edinb.Math.Soc 49

      Pages: 667-681

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Journal Article] Milnor's multiple gammma functions2006

    • Author(s)
      K.Kurokawa, H.Ochiai, M.Wakayama
    • Journal Title

      J. Ramanujan Mathematical Society 20

      Pages: 153-167

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Multiple Euler products2005

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      St.Petersburg Mathematical Journal 11

      Pages: 123-166

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Extensions of zeta functions-Examples and a study of the double sine functions2005

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Acta Applicandae Mathematicae vol.86

      Pages: 179-201

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Extensions of zeta functions- Examples and a study of the double sine functions2005

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Acta Applicandae Mathematicae 86・1-2

      Pages: 179-201

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Extensions of zeta functions-Examples and a study of the double sine functions2005

    • Author(s)
      Kurokawa, Nobushige, Wakayama, Masato
    • Journal Title

      Acta Applicandae Mathematicae 86・1〜2

      Pages: 179-201

    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Euler's integrals and multiple sine functions2005

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      Proc.Amer.Math.Soc. vol.133

      Pages: 1257-1265

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Differential algebraicity of multiple sine functions,2005

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Letters in Math.Phys. 71

      Pages: 75-82

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Differential algebraicity of multiple sine functions2005

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Letters in Mathematical Physics 71

      Pages: 75-82

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Euler' s integrals and multiple sine functions2005

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      Proc. Amer. Math. Soc. 133・5

      Pages: 1257-1265

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Multiple finite Riemann zeta functions2005

    • Author(s)
      K.Kimoto, N.Kurokawa, S.Matsumoto, M.Wakayama
    • Journal Title

      Acta Arithmetica 116

      Pages: 173-187

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Euler's integrals and multiple sine Functions2005

    • Author(s)
      Kurokawa, Nobushige, Koyama, Shin-ya
    • Journal Title

      Proceedings of the American Mathematical Society 133・5

      Pages: 1257-1265

    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Multiple Euler products2005

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      St.Petersburg Math.J. vol.11

      Pages: 123-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Multiple Euler products2005

    • Author(s)
      Kurokawa, Nobushige, Koyama, Shin-ya
    • Journal Title

      St.Petersburg Mathematical journal 11

      Pages: 123-166

    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Zeta regularizations2004

    • Author(s)
      Kurokawa, N., Wakayama, M.
    • Journal Title

      Acta Applicandae Mathematicae 81

      Pages: 147-166

    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] On $q$-analogues of the Euler constant and Lerch's limit formula2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Proceedings of the American Mathematical Society 132

      Pages: 935-943

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Higher Selberg zeta functions2004

    • Author(s)
      Kurokawa, N., Wakayama, M.
    • Journal Title

      Communications in Mathematical Physics 247

      Pages: 447-466

    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Derivatives of multiple sine functions2004

    • Author(s)
      Kurokawa, Nobushige
    • Journal Title

      Proceedings of the Japan Academy 80

      Pages: 65-69

    • NAID

      40006480345

    • Data Source
      KAKENHI-PROJECT-15654003
  • [Journal Article] A generalization of Lerch's formula2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Czechoslovak Mathematical Journal 54

      Pages: 949-954

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Zeta regularizations2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Acta Applicandae Mathematicae 81

      Pages: 147-166

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Absolute Frobenius operators2004

    • Author(s)
      Kurokawa, Nobushige
    • Journal Title

      Proceedings of the Japan Academy 80

      Pages: 175-179

    • NAID

      40006712804

    • Data Source
      KAKENHI-PROJECT-15654003
  • [Journal Article] Zeta reguralized product expression for multiple trigonometric functions2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Tokyo J.Math. 27

      Pages: 469-480

    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Zeta regularized product expansion for multiple trigonometric functions2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Tokyo J. Math. 27

      Pages: 469-480

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] Higher Selberg zeta functions2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Communications in Mathematical Physics 247

      Pages: 447-466

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] A q-Mahler measure2004

    • Author(s)
      Kurokawa, Nobushige
    • Journal Title

      Proceedings of the Japan Academy 80

      Pages: 70-73

    • NAID

      40006480346

    • Data Source
      KAKENHI-PROJECT-15654003
  • [Journal Article] Ruelle type zeta functions for tori and arithmetics2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      International Journal of Mathematics 15

      Pages: 691-715

    • Data Source
      KAKENHI-PROJECT-15340012
  • [Journal Article] Zeta regularized product expansion for multiple trigonometric functions2004

    • Author(s)
      N.Kurokawa, M.Wakayama
    • Journal Title

      Tokyo J.Math. 27

      Pages: 469-480

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340003
  • [Journal Article] A note on spectral zeta functions of quantum groups2004

    • Author(s)
      Kurokawa, N., Wakayama, M.
    • Journal Title

      International J.Mathematics 15

      Pages: 125-133

    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Multiple zeta functions : the double sine function and the signed double Poisson summation formula2004

    • Author(s)
      Kurokawa, N., S.Koyama
    • Journal Title

      Compositio Math. 140

      Pages: 1176-1190

    • Data Source
      KAKENHI-PROJECT-16540013
  • [Journal Article] Multiple sine functions.2003

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      Forum Math. 15

      Pages: 839-876

    • NAID

      110004827097

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] Multiple sine functions2003

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      Forum Mathematica 15

      Pages: 839-876

    • NAID

      110004827097

    • Data Source
      KAKENHI-PROJECT-15654003
  • [Journal Article] Kummer's formula for multiple gamma functions2003

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      J.Ramanujan Math.Soc. 18

      Pages: 195-209

    • Data Source
      KAKENHI-PROJECT-15654003
  • [Journal Article] Multiple sine functions2003

    • Author(s)
      N.Kurokawa, S.Koyama
    • Journal Title

      Forum Math. 15

      Pages: 839-876

    • NAID

      110004827097

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-12440010
  • [Journal Article] Absolute derivation and zeta functions2003

    • Author(s)
      N.Kurokawa, H.Ochiai, M.Wakayama
    • Journal Title

      Cocumenta Math. 2003-Ext

      Pages: 565-584

    • Data Source
      KAKENHI-PROJECT-15654003
  • [Journal Article] A multivariable Euler product of Igusa type and its applications

    • Author(s)
      Nobushige Kurokawa, Hiroyuki Ochiai
    • Journal Title

      Journal of Number Theory (未定)(印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654003
  • [Presentation] Absolute modular forms2009

    • Author(s)
      N. Kurokawa
    • Organizer
      Non commutative geometry and geometry over the field with one element
    • Place of Presentation
      Baltimore, U.S.A.
    • Year and Date
      2009-03-26
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Presentation] Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies2009

    • Author(s)
      N. Kurokawa
    • Organizer
      Casimir force, Casimir operators and Riemann hypothesis
    • Place of Presentation
      Fukuoka, Japan
    • Year and Date
      2009-11-13
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Presentation] Zeta functions over F12009

    • Author(s)
      N. Kurokawa
    • Organizer
      ibid
    • Place of Presentation
      Baltimore, U.S.A.
    • Year and Date
      2009-03-24
    • Data Source
      KAKENHI-PROJECT-18340005
  • [Presentation] Determinants of Euler operators2007

    • Author(s)
      N., Kurokawa
    • Organizer
      International Conference "Arithmetic Geometry"
    • Place of Presentation
      St.Petersburg
    • Year and Date
      2007-06-13
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540018
  • [Presentation] Determinants of Euler operators2007

    • Author(s)
      N. Kurokawa
    • Organizer
      International Conference on Arithmetic Geometry
    • Place of Presentation
      St. Petersburg(Russia)
    • Year and Date
      2007-06-13
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540018
  • 1.  MIZUMOTO Shin-ichiro (90166033)
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  • 2.  TSUJI Hajime (30172000)
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  • 3.  ISHII Shihoko (60202933)
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  • 6.  SAITO Shuji (50153804)
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  • 36.  KOJIMA Sadayoshi (90117705)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  MIWA Tetsuji (10027386)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  FUTAKI Akito (90143247)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  KOBAYASHI Ryoichi (20162034)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  MATSUMOTO Koji (60192754)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  FUJIWARA Kazuhiro (00229064)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  KONDO Shigeyuki (50186847)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  KAJIWARA Kenji (40268115)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  森田 茂之 (70011674)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  井上 淳 (40011613)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  藤原 大輔 (10011561)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  小沢 真 (00126020)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  笹尾 靖也 (10016024)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  川久保 勝夫 (50028198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  桂 利行 (40108444)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  佐藤 周友 (50324398)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  斎藤 博 (80135293)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  向井 茂 (80115641)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  今野 拓也 (00274431)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  三鳥川 寿一 (80055318)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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