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NAKANO Shin  中野 伸

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中野 伸  ナカノ シン

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Researcher Number 40180327
Other IDs
External Links
Affiliation (Current) 2025: 学習院大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2023: 学習院大学, 理学部, 教授
2000 – 2004: 学習院大学, 理学部, 助教授
1997 – 1998: Gakushuin Univ., Fucalty of Science Associate Professor, 理学部, 助教授
1993 – 1994: 名古屋大学, 理学部, 講師
1991: 名古屋大学, 教養部, 講師
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra / Basic Section 09050:Tertiary education-related / 解析学
Keywords
Principal Investigator
行列-木定理 / セルマ-群 / イデアル類群
Except Principal Investigator
Elliptic Curve / 楕円曲線 / 岩沢理論 / 不定方程式 / 社会的レリバンス / 社会科学系学士課程教育 / 人文科学系学士課程教育 … More / 学習成果 / 高等教育 / Miranda-Persson's Problem / Elliptic Surface / Mordell-Weil Rank / Mordell-Weil Group / Cubic Generic Polynomial / Mordell Curve / Cubic Field / Fermat3次曲線 / 3次twist / generic polynomial / Hilbert's Th.90 / 生成多項式 / 3次巡回体 / Miranda-Perssonの問題 / 楕円曲面 / Mordell-Weil rank / Mordell-Weil群 / 3次生成的多項式 / Mordell曲線 / 3次体 / Formal Group / Iwasawa Theory / 岩澤理論 / 形式群(Formal Grorp) / 形式群(Formal Group) / 岩澤理論(Iwasawa Theory) / 形式群 / Algebraic number field / Iwasawa theory / 代数体 / Functional equations / Diophantine equations / Algebraic independence / Transcendental numbers / 関数等式 / 代数的独立性 / 超越数 / Ornstein-Uhlenbeck type process / recurrent semi-group / resolvent of potential-kernels / non-integrability of sub-harmonic functions / Analytic capacity / Spectral synthetic / kernels of logarithmic type / Hunt convolution kernels / 周期軌道 / 偏微分方程式の可解性 / 調和関数の境界挙動 / 符号化定理 / 確率過程の再帰性 / 非回帰的半群 / 対数型ポテンシャル核 / オーレンスタイン・ウーレンベック型過程 / 回帰的生成半群 / ポテンシャル核のレゾルベント / 劣調和関数の非可積分性 / 解析容量 / スペクトラルシンセシス / 対数型核 / ハント合成核 / 実2次体 / 構造不変量 / 代数的教体 / リニック予想 / 跡公式 / クロステルマンゼータ関数 / クロステルマン和 / スペクトル理論 / ア-ス尖点形式 / アイゼンシュタイン級数 / 加法的約数問題 Less
  • Research Projects

    (9 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (36 People)
  •  The educational significance of undergraduate education in Humanities-Consideration of social relevance from the perspective of quality assurance-

    • Principal Investigator
      SHINODA Masato
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 09050:Tertiary education-related
    • Research Institution
      Waseda University
      The Graduate School of Information & Communication
      Takarazuka University
  •  Arithmetic of Cubic Fields and Elliptic Curves associated to them

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research of Iwasawa Theory fof Formal Groups

    • Principal Investigator
      NAKAJIMA Shoichi
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  Arithmetic of Z_p-field and geometry of algebraic curves

    • Principal Investigator
      NAKAJIMA Shoichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
      The University of Tokyo
  •  Algebraic and Analytic Research of Transcendental Numbers

    • Principal Investigator
      IITAKA Shigeru, 三井 孝美
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Gakushuin University
  •  保型関数のスペクトル理論とその整数論への応用

    • Principal Investigator
      谷川 好男
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  代数的数体における構造不変量の研究

    • Principal Investigator
      横井 英夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  代数体のイデアル類群の構造Principal Investigator

    • Principal Investigator
      中野 伸
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Potential-kernels of logarithmic type and their applications

    • Principal Investigator
      ITO Masayuki
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Nagoya University

All 2001

All Journal Article

  • [Journal Article] On Galois module structure of ideal class groups2001

    • Author(s)
      Shin Nakano, T.Komatsu
    • Journal Title

      Nagoya J.Math. 164

      Pages: 133-146

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-12640038
  • [Journal Article] On Galois module structure of ideal class groups2001

    • Author(s)
      Shin Nakano
    • Journal Title

      Nagoya J.Math. 164

      Pages: 133-146

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-12640038
  • 1.  北岡 良之 (40022686)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  SATO Ken-iti (60015500)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  IITAKA Shigeru (20011588)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  NAKAJIMA Shoichi (90172311)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  KAWAMOTO Fuminori (50195161)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  ICHIMURA Humio (00203109)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  NAITO Hirotada (00180224)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  谷川 好男 (50109261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  寺西 鎮男 (20115603)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  伊藤 博 (30168372)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  向井 茂 (80115641)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  横井 英夫 (50023560)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  篠田 寿一 (30022685)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  三井 武友 (50027380)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  ITO Masayuki (60022638)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  NAGAI Hideo (70110848)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  IHARA Shunsuke (00023200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  SUZUKI Noriaki (50154563)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  MURAI Takafumi (00109266)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  田中 和永 (20188288)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  三宅 正武 (70019496)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  三井 孝美 (20080484)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  MIZUTANI Akira (80011716)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  KATASE Kiyoshi (70080489)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  FUJIWARA Daisuke (10011561)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KURODA Shigetoshi (20011463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  KURODA Shigenobu (70012416)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  MIYAKE Katsuya (20023632)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  NAKAMULA Ken (80110849)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  KURIHARA Masato (40211221)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  TOKUNAGA Hiroo (30211395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  MATSUNO Kazuo (40332936)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  中村 博昭 (60217883)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  SHINODA Masato (60601234)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  佐藤 学 (70135424)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  小島 和男 (80383545)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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