• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Kiuchi Isao  木内 功

ORCIDConnect your ORCID iD *help
… Alternative Names

KIUCHI Isao  木内 功

木内 功  キウチ イサオ

Less
Researcher Number 30271076
Other IDs
External Links
Affiliation (Current) 2020: 山口大学, 大学院創成科学研究科 , 教授
Affiliation (based on the past Project Information) *help 2013: 山口大学, 大学院理工学研究科, 教授
2011 – 2013: 山口大学, 理工学研究科, 教授
2011: 山口大学, 大学院・理工学研究科, 教授
2008 – 2009: 山口大学, 大学院・理工学研究科, 教授
2007: Yamaguchi University, Graduate School of Science and Engineeritng, Associate Professor … More
2006: 山口大学, 大学院理工学研究科, 助教授
2006: 山口大学, 理工学研究科, 助教授
2004 – 2005: 山口大学, 理学部, 助教授
1997 – 2002: 山口大学, 理学部, 助教授
1995: 山口大学, 教養部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / Basic analysis / Geometry / Basic analysis / Algebra / Global analysis
Keywords
Principal Investigator
リーマン・ゼータ関数 / 乗法的関数 / 数論的関数 / 近似関数等式 / 約数関数 / リーマン・ジィーゲル公式 / オメガ結果 / 平均的定理 / 平均値定理 / 平均値公式 … More / short intervals / Ω-結果 / Voronoiの公式 / Riemann zeta-function / Divisor function / Riemann-Siegel formula / Omega results / Multiplicative functions / Mean value theorems … More
Except Principal Investigator
リーマン面 / 代数曲線 / 多重ゼータ関数 / 正則写像 / 等角写像 / 極値的長さ / 平均値定理 / gonality / 解析接続 / 穴あきトーラス / 約数問題 / 数論的関数 / 特異点 / ホモトピー / 折り目写像 / 安定ホモトピー群 / ジェット空間 / 特性類 / Weierstrass 点 / 閉リーマン面 / Riemannゼータ関数 / 二乗平均 / 漸近展開 / Rankin-Selberg L関数 / universality / ゼータ関数 / Universality / 擬等角写像 / modular relation / Ramanujan公式 / 近似関数等式 / Modular relation / Ramanujan formula / Analytic continuation / モジュラー関係式 / Nakayama ring / Harada ring / Skew-Matrix ring / extending module / lifting module / generalized relative projectivity / n-harmonic map / conformal geometric structure / n-調和写像 / p-調和写像 / 変分問題 / 共形幾何構造 / 単葉関数 / 極値截線写像 / 円問題 / 数論的誤差項 / チャウラ-ワールムの和 / ベルヌーイ多項式 / リーマンゼータ関数 / ディリクレの約数問題 / ガウスの円問題 / ランキン-セルバーグ級数 / 離散和と連続和 / ラマヌジャン / スターリング数 / 数論敵関数 / 2乗平均 / ヴォロノイ公式 / 可微分写像 / 折り目 / コボルディズム. / Thom多項式 / Pontrjagin類 / 球面の安定ホモトピー群 / J-image / K-軌道 / 写像 / 解析学 / 関数論 / gonality 列 / 閉 Riemann面 / bielliptic / 2葉被覆 / 閉 Riemann 面 / Dirichlet L関数 / Voronoi公式 / Voronoiの公式 / Lerchゼータ関数 / L関数 / Pisot数 / 二重ガンマ関数 / Riemann zeta-function / Dirichlet L-function / Voronoi's formula / Divisor problem / Mean square / Asymptotic expansion / Rankin-Selberg L-function / 有理型函数 / Brill-Noether 理論 / 正規生成性 / Weierstrass点 / ブリル・ネーター理論 / compact Riemann surface / algebraic curve / meromorphic function / Brill-Noether theory / normal generation / Weierstrass point / 特異積分作用素 / 変分公式 / Beltrami微分 / Bloch函数 / 歪曲評価 / 増大度評価 / 大域解 / singular integral / quasiconformal mapping / variational formula / Beltrami differential / Bloch functions / distortion estimate / growth estimate / global solutions / Dirichlet級数 / 楕円曲線 / Bernoulli数 / Rankin-Selberg 級数 / Dirichlet series / Mean value formula / Arithmetical function / Elliptic curve / Multiple zeta function / Euler-Zagier和 / Hurwitzゼータ関数 / 普遍性定理 / 保型L関数 / Mellin-Barnes formula / 多重ガンマ関数 / 普遍性 / 実二次体 / Multiple zeta-function / Euler-Zagier sum / Hurwitx zeta-function / Ramanujan's formula / Automorphic L-function / 真性不連続群 / 基本領域 / 擬順序 / マルチン境界 / ペアノ曲線 / フェルマー曲線 / 線形誤り訂正符号 / ランキンの卵 / アールフォース関数 / タイヒミュラー空間 / 双曲的長さ / Riemann surface / conformal mapping / extremal length / properly discontinuous group / fundamental domain / quasi order / 環論 / 準フロベニウス環 / Extending module / 環の自己双対性 / ノイマン正則環 / 多元環 / Ring theory / Quasi-Frobenius rings / Extending modules / Self-duality of rings / Von-Neumann regular rings / QF-ring / generalized relative inectity / Artinian ring / Quasi-Frobenius ring / sjkew-matrix ring / Nakayama-permutation / Nakayama -automorphism / Artin環 / QF-環 / Nakayama環 / CS-加群 / Harada環 / Nakayama置換 / Nakayama自己同型 / OF-ring / generalized relative injectivity / 写像の特異点 / トム多項式 / 微分可能写像 / 多様体 / ホモトピー群 / ホモトピー型 / 分類空間 / smooth map / singularity / jet space / Thom polynomial / homotopy / 関数等式 / モデュラー関係式 / H-関数 / メリン-バーンズ積分 / 2重ゼータ関数 / 指数和 / 多項式ゼータ関数 / メリンーバーンズ積分 / ワイル変換 / 部分分数展開 / ダブルゼータ関数 / オーダー評価 / functional equation / H-function / Mellin-Barnes integral / double zeta-function / exponential sum / zeta-function associated with polynomial / グラスマン幾何 / 等質空間 / 部分多様体 / リー群 / 左不変計量 / 曲面 / ユニモジュラーリー群 / リー郡 / Grassmann geometry / homogeneous space / submanifold / Liegroup / left invariant metric / surface / unimndnlar Lie noun Less
  • Research Projects

    (19 results)
  • Research Products

    (14 results)
  • Co-Researchers

    (47 People)
  •  Studies on special linear series and Weierstrass points on compact Riemann surfaces

    • Principal Investigator
      KATO Takao
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Research on holomorphic mappings of Riemann surfaces----roles of handles played in the existence problem of holomorphic mappings

    • Principal Investigator
      MASUMOTO Makoto
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Analytic properties of the error term arising from the arithmetical problems

    • Principal Investigator
      TANIGAWA Yoshio
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Homotopy theory on singularities of differentiable maps and K-invariant spaces of the jet spaces

    • Principal Investigator
      ANDO Yoshifumi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Holomorphic mappings of Riemann surfaces with handles

    • Principal Investigator
      MASUMOTO Makoto
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  n-harmonic maps and conformal structures on Riemannian manifolds

    • Principal Investigator
      NAKAUCHI Nobumitsu
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Beneath on analytic properties ofvarious zeta-functions

    • Principal Investigator
      TANIGAWA Yoshio
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Study on submanfolds of homogeneous spaces from the view of orbital Grassmann geometry

    • Principal Investigator
      NAITOH Hiroo
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Research of invariants of singularities of smooth mappings

    • Principal Investigator
      ANDO Yoshifumi
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamaguchi University
  •  Study on Artinian rings with priority given to Quasi-Frobenius rings

    • Principal Investigator
      OSHIRO Kiyoichi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  Studies on the analytic behaviour of number theoretic L-functions

    • Principal Investigator
      MATSUMOTO Kohji
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Holomorphic mappings and moduli of Riemann surfaces

    • Principal Investigator
      MASUMOTO Makoto
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Research of quasi-Frobenius rings and representation theory

    • Principal Investigator
      YOSHIMURA Hiroshi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  Sum formulas for arithmetical functions and mean value theorem for the zeta functions

    • Principal Investigator
      TANIGAWA Yoshio
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Meromorphic functions on Riemann surfaces, Weierstrass points

    • Principal Investigator
      KATO Takao
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Mean values and Asymptotic Behavior on Arithmetical FunctionsPrincipal Investigator

    • Principal Investigator
      KIUCHI Isao
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University
  •  Variational Formula for Quasiconformal Mappings

    • Principal Investigator
      YANAGIHARA Hiroshi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Yamaguchi University
  •  Behavior of Zeta and L-functions and their arithmetic meaning

    • Principal Investigator
      MATSUMOTO Kohji
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  リーマン・ゼータ関数の近似関数等式に関する残余項の研究Principal Investigator

    • Principal Investigator
      木内 功
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Yamaguchi University

All 2011 2008 2006

All Journal Article Presentation

  • [Journal Article] Analytic properties of double zeta functions2011

    • Author(s)
      Kiuchi, Y. Tanigawa, W. Zhai
    • Journal Title

      Indag. Math.

      Volume: 21 Pages: 16-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540012
  • [Journal Article] Analytic properties of double zeta-functions2011

    • Author(s)
      I. kiuchi, Y. Tanigawa, and W. Zhai
    • Journal Title

      Indagationes Mathematicae

      Volume: 21 Pages: 16-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540085
  • [Journal Article] Analytic properties of double zeta-functions2011

    • Author(s)
      I.Kiuchi
    • Journal Title

      Indagationes Mathematics

      Volume: 21 Pages: 16-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540085
  • [Journal Article] Analytic properties of double zeta functions2011

    • Author(s)
      I.Kiuchi, Y.Tanigawa, W.Zhai
    • Journal Title

      Indag.Math.

      Volume: 21 Pages: 16-29

    • DOI

      10.1016/j.indag.2010.12.001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540012
  • [Journal Article] Bounds for triple zeta-functions2008

    • Author(s)
      Isao Kiuchi
    • Journal Title

      Indagationes Math, N. S. 19

      Pages: 97-114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540217
  • [Journal Article] Bounds for triple zeta-functions2008

    • Author(s)
      I. Kiuchi
    • Journal Title

      Indagonationes Mathematicae 19

      Pages: 97-114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540187
  • [Journal Article] Bounds for triple zetafunctions2008

    • Author(s)
      Isao Kiuchi
    • Journal Title

      Indagonationes Mathematicae 第19巻

      Pages: 97-114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540187
  • [Journal Article] Bounds for triple zeta-functions2008

    • Author(s)
      Isao Kiuchi and Yoshio Tanigawa
    • Journal Title

      Indagationes Mahem,N.S. 19

      Pages: 97-114

    • Data Source
      KAKENHI-PROJECT-18540217
  • [Journal Article] Bounds for double zeta functions2006

    • Author(s)
      I. Kiuchi, Y. Tanigawa
    • Journal Title

      Ann. Scoula Norm. Sup. Pisa, V

      Pages: 445-464

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540022
  • [Journal Article] Bounds for double geta functions2006

    • Author(s)
      I.Kiuchi, Y.Taningawa
    • Journal Title

      Aun. Scoula Norm. Sup. Pisa V

      Pages: 445-464

    • Data Source
      KAKENHI-PROJECT-17540022
  • [Journal Article] Bounds for double zeta-functions2006

    • Author(s)
      Isao Kiuchi
    • Journal Title

      Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5) 5・4

      Pages: 445-464

    • Data Source
      KAKENHI-PROJECT-17540081
  • [Journal Article] Bounds for double zeta-functions2006

    • Author(s)
      Isao Kiuchi and Yoshio Tanigawa
    • Journal Title

      Annali Scuola Normale Superiore di Pisa,Classe di Scienze V.

      Pages: 445-464

    • Data Source
      KAKENHI-PROJECT-18540217
  • [Journal Article] Bounds for double zeta function2006

    • Author(s)
      I. Kiuchi and Y. Tanigawa
    • Journal Title

      Ann. Scoula Norm. Sup. Pisa V

      Pages: 445-464

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540022
  • [Presentation] ゼータ関数の性質2008

    • Author(s)
      木内功
    • Organizer
      平成19年度日本数学会中国・四国支部例会
    • Place of Presentation
      山口大学
    • Year and Date
      2008-01-27
    • Data Source
      KAKENHI-PROJECT-19540187
  • 1.  MASUMOTO Makoto (50173761)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  YANAGIHARA Hiroshi (30200538)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 3.  TANIGAWA Yoshio (50109261)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 4 results
  • 4.  KATO Takao (10016157)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  KOMIYA Katsuhiro (00034744)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  SHIBA Masakazu (70025469)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  YAMADA Akira (60126331)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  MATSUMOTO Kohji (60192754)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  AKIYAMA Shigeki (60212445)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  WATANABE Tadashi (10107724)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  KIKUMASA Isao (70234200)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  NAITOH Hiroo (10127772)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  SATO Yoshihisa (90231349)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  KANEMITSU Shigeru (60117091)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  ANDO Yoshifumi (80001840)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  KITAOKA Yoshiyuki (40022686)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  MIYAZAWA Yasuyuki (60263761)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  YOSHIMURA Hiroshi (00182824)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  KATAYAMA Hisao (00043860)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  NAKAUCHI Nobumitsu (50180237)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  KAWAI Shigeo (30186043)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  TAKEUCHI Hiroshi (20197271)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  HATAYA Yasushi (20294621)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  IIYORI Nobuyasu (00241779)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  OHBUCHI Akira (10211111)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  KATSURADA Masanori (90224485)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  OSHIRO Kiyoichi (90034727)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  KUTAMI Mamoru (80034734)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  TAKAKUWA Shoichiro (10183435)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  OKADA Mari (40201389)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  FURUYA Jun (10413890)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  KAJI Shizuo (00509656)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  KOMEDA Jiryou (90162065)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  ITO Hiroshi (30168372)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  HOMMA Masaaki (80145523)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  KURIYAMA Ken (10116717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  GOUMA Tomomi (70253135)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  SUZUKI Noriaki (50154563)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  KADO Jiro (10117939)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  TSUKADA Haruo (00257990)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  松野 好雅 (30190490)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  柳 研二郎 (90108267)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  金銅 誠之 (50186847)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  瀬川 重男 (80105634)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  河津 清 (70037258)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  馬場 良始 (10201724)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  植田 玲 (70213345)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

URL: 

Are you sure that you want to connect your ORCID iD to this researcher?
* This action can be performed only by the researcher themselves.

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi