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Murabayashi Naoki  村林 直樹

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MURABAYASHI Naoki  村林 直樹

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Researcher Number 80261676
Other IDs
Affiliation (Current) 2022: 関西大学, システム理工学部, 教授
Affiliation (based on the past Project Information) *help 1995 – 2006: 山形大学, 理学部, 助教授
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / 計算機科学 / Geometry / Algebra
Keywords
Principal Investigator
アーベル多様体 / 虚数乗法論 / モジュライの体 / ゼータ関数 / 四元数乗法 / モジュラー性 / Hasse-Weilゼータ関数 / QM型アーベル曲面 / 」GL_2-typeのアーベル多様体 / 志村曲線 … More / データ関数 / テータ関数 / KP方程式 / チータ関数 … More
Except Principal Investigator
符号のヤコビ多項式 / ジーゲル保型形式 / 複素鏡映群 / 被覆半径 / 格子 / lattice / 符号の被覆半径 / アソシエーション・スキーム / 不変多項式環 / ジーゲル・ヤコビ形式 / 有限複素鏡映群 / 同時不変多項式環 / カッツムーディ環 / 暗号 / 対称暗号 / トラップドア(落し戸) / 有限群 / 公開鍵暗号 / 有限体 / GAP / 2元符号 / 3元符号 / コセット重み分布 / ヤコビ多項式 / 不変式環 / binary codes / ternary codes / the covering radius / coset weight distributions / Jacobi polynomials of codes / 非コンパクト変換群 / カオス写像 / バナッハ束 / 暗号理論 / アーベル多様体 / 結び目理論 / アダマール多様体 / 複素構造 / カオス力学系 / カントール集合 / 周期結び目 / transformation groups / non-compact Lie group / maximal compact subgroup / chaotic dynamical systems / symplectic structure / computational quantity / knot / harmonic maps / 符号理論 / ヤコビ形式 / 保型形式 / Coding theory / Jacobi form / Siegel modular forms / 符号 / 多重重み枚挙多項式 / 二次形式 / Code / multiple weight enumerator / Siegel modular form Less
  • Research Projects

    (11 results)
  • Research Products

    (8 results)
  • Co-Researchers

    (21 People)
  •  Coding theory, the invariant theory for the finite fractional linear transformation groups and their applications to the number theory

    • Principal Investigator
      OZEKI Michio
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  虚数乗法論とKP方程式の関連についてPrincipal Investigator

    • Principal Investigator
      村林 直樹
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  A study of the interacting area among the theory of quadratic forms and the theory of modular forms and the algebraic coding theory

    • Principal Investigator
      OZEKI Michio
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  Research on transformation groups from the topological viewpoint and research on related topics

    • Principal Investigator
      UCHIDA Fuichi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Yamagata University
  •  暗号系に現れる群構造について

    • Principal Investigator
      澤田 秀樹
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      計算機科学
    • Research Institution
      Yamagata University
  •  QM型マーベル曲面のHasse-Weil ゼータ関数についてPrincipal Investigator

    • Principal Investigator
      村林 直樹
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  Algebraic Coding Theory and the related studies of algebraic, geometric and analytic natures

    • Principal Investigator
      OZEKI Michio
    • Project Period (FY)
      1997 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Algebra
    • Research Institution
      Faculty of Science, Yamagata University
  •  有限複素鏡映群の不変式論,ジーゲル保型形式とカッツムーディ環との関連の研究

    • Principal Investigator
      小関 道夫
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Yamagata University
  •  有限体上の符号の被覆半径と格子群の被覆半径の決定問題

    • Principal Investigator
      OZEKI Michio
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Yamagata University
  •  代数的符号理論と多変数の保型形式

    • Principal Investigator
      小関 道夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University
  •  有理数体上定義されたCM型アーベル曲面の分類Principal Investigator

    • Principal Investigator
      村林 直樹
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Yamagata University

All 2005 2004 Other

All Journal Article

  • [Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005

    • Author(s)
      Naoki Murabayashi
    • Journal Title

      Journal of Number Theory 112

      Pages: 116-188

    • Data Source
      KAKENHI-PROJECT-15654001
  • [Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005

    • Author(s)
      N.Murabayashi
    • Journal Title

      Journal of Number Theory Vol.112

      Pages: 116-188

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540004
  • [Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005

    • Author(s)
      N.Murabayashi
    • Journal Title

      Journal of Number Theory 112

      Pages: 116-188

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540004
  • [Journal Article] On the field of definition for modularity of CM elliptic curves2004

    • Author(s)
      Naoki Murabayashi
    • Journal Title

      Journal of Number Theory 108

      Pages: 268-286

    • Data Source
      KAKENHI-PROJECT-15654001
  • [Journal Article] On the field of definition for modularity of CM elliptic curves.2004

    • Author(s)
      N.Murabayashi
    • Journal Title

      J.Number Theory 108

      Pages: 268-286

    • Data Source
      KAKENHI-PROJECT-14540004
  • [Journal Article] Madularity of CM elliptic curves over division fields.

    • Author(s)
      Naoki Murabayashi
    • Journal Title

      J. Number Theory (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] Modularity of CM elliptic curves over division fields.

    • Author(s)
      Naoki Murabayashi
    • Journal Title

      J.Number Theory (to appear)

    • Data Source
      KAKENHI-PROJECT-17540006
  • [Journal Article] Modularity of CM type elliptic curves over division fields

    • Author(s)
      Naoki Murabayashi
    • Journal Title

      J.Number Th. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540006
  • 1.  SAWADA Hideki (30095856)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  OZEKI Michio (90087073)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  HARADA Masaaki (90292408)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  木田 雅成 (20272057)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  UCHIDA Fuichi (90028126)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  UENO Keisuke (10250911)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  渡辺 伸一 (40007175)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  NISHIMURA Takuji (90333947)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  UCHIDA Yoshiaki (80280890)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  II Kiyotaka (10007180)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  KITAZUME Masaaki (60204898)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  梅垣 敦紀 (60329109)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  SANO Takashi (20250912)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  尾方 隆司 (10042425)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  大池 宏清 (20007165)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  鹿野 健 (90020669)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  平松 豊一 (40029674)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  平吹 慎吉 (70007136)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  KAWAMURA Shinzo (50007176)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  MUNEMASA Akihiro (50219862)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  BANNAI Eiichi (10011652)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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