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MIYAI Akio  宮井 秋男

ORCIDConnect your ORCID iD *help
Researcher Number 70003960
Other IDs
Affiliation (based on the past Project Information) *help 2002 – 2006: 岩手大学, 教育学部, 講師
1996 – 2000: 岩手大学, 教育学部, 助手
Review Section/Research Field
Except Principal Investigator
Geometry / Algebra / Algebra / Geometry
Keywords
Except Principal Investigator
半整数の重さのモジュラ形式 / モジュラ形式 / ゼータ関数 / modular forms of half integral weight / modular forms / 有向グラフ / 許容関数 / リーマン葉層 / コンパクト葉 / ヤコビ形式 … More / zeta function / 余次元1葉層 / ゼータ関数の特殊値 / モジュラー形式 / 半整数の重さのモジュラー形式 / 葉層構造 / 平均曲率関数 / 極小葉層 / Foliation / Minimal foliation / 平均曲率ベクトル場 / Jacobi form / Maass wave form / Stokesの公式 / モジュラ形式のフーリエ係数 / 保型形式 / zeta functions / critical values of zeta functions / Fourier coefficients of modular forms / Riemannian fo / compact leaf / バンドル-ライク葉層 / 定平均曲率葉層 / 全測地的葉層 / 極小グラフ / Bernstein問題 / 葉の成長度 / 平均曲率ベクトル / 束葉層 / ベーシック 1-形式 / 断面曲率正 / キリングベクトル場 / Bundle-like foliation / Mean curvature function / Constant mean curvature / Totally geodesic / Minimal graph / ゼータ関数お特殊値 / Jacobi形式 / モジュラー形式のフーリエ係数 / Jacobi forms / specaial values of zeta function / メトリック葉層 / キリング場 / チーガー定数 / (有向)グラフ / グラフの連結性 / (有向グラフ上の)許容関数 / 許容ベクトル場 / 錘構造 / 錐構造 / Metric foliation / Killing field / Cheeger constant / (Di-)graph / Connectivities of graph / admissible function of digraph / マースの波動形式 / ジーゲルモジュラ形式 / マース空間 / ヒルベルトモジュラ形式 / 余次元1葉層多様体 / 葉層に付随した錘構造 / 平均曲率の安定性 / 束に付随した錘構造 / Waring問題 / Foliations / Cone structures for foliations / Mean curvature vectors / Mean curvature functions / Stability of mean curvatures / Cone structures for plane fields / Waring problem Less
  • Research Projects

    (9 results)
  • Co-Researchers

    (18 People)
  •  Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      SAITAMA UNIVERSITY
  •  The study of relations between the cone structures associated with foliations and their differential geometric properties.

    • Principal Investigator
      OSHIKIRI Gen-ichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  •  Arithmetic study of Fourier coefficients of modular forms of half integral weight and the special values of zeta functions

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      IWATE UNIVERSITY
  •  The study of relations between topological properties and differential geometric properties of foliated structures.

    • Principal Investigator
      OSHIKIRI Gen-ichi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  •  Arithmetic study of Fourier coefficients of automorphic forms and modular forms and zeta functions

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Iwate University
  •  Differential Geometric Approach to Foliated Structures.

    • Principal Investigator
      OSHIKIRI Gen-ichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  •  有向グラフへの大域解析的アプローチ

    • Principal Investigator
      押切 源一
    • Project Period (FY)
      1997
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  •  The study of arithmetic and analytic property of automorphic forms and zeta function associated with them and numerical analysis

    • Principal Investigator
      KOJIMA Hisashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Iwate University
      The University of Electro-Communications
  •  葉層に付随したグラフの幾何的構造

    • Principal Investigator
      OSHIKIRI Genichi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Iwate University
  • 1.  OSHIKIRI Genichi (70133931)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  KOMIYAMA Haruo (90042762)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  KAWADA Koichi (70271830)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  NUMATA Minoru (50028255)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  FUMIO Nakajima (20004484)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 6.  KOJIMA Hisashi (90146118)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 7.  TAYOSHI Takao (60017382)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  吉岡 正典 (90272749)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  中村 健一 (40293120)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  小藤 俊幸 (30234793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  伊東 裕也 (30211056)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  IIDA Masato (00242264)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  TAKEUCHI Kisao (00011560)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  SAKAI Fumio (40036596)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  MIZUTANI Tadayoshi (20080492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  SAKAMOTO Kunio (70089829)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  KISHIMOTO Takashi (20372576)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  小池 茂昭 (90205295)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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