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YAMAMOTO Yoshihiko  山本 芳彦

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… Alternative Names

山本 芳彦  ヤマモト ヨシヒコ

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Researcher Number 90028184
External Links
Affiliation (based on the past Project Information) *help 1996 – 2003: 大阪大学, 大学院・理学研究科, 教授
1997 – 1998: 大阪大学, 理学研究科, 教授
1994 – 1995: 大阪大学, 理学部, 教授
1988 – 1992: 大阪大学, 理学部, 教授
1986: 阪大, 理学部, 助教授
Review Section/Research Field
Principal Investigator
代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Basic analysis
Keywords
Principal Investigator
ヤコビ多様体 / 楕円曲線 / アーベル多様体 / 数式処理 / 等分方程式 / Elliptic curve / 虚数乗法論 / 有理点群 / ゼータ関数 / 代数曲線 … More / 連分数展開 / ガロワ群 / 超楕円曲線 / ガロワ拡大 / 類体論 / 虚数乗法 / Riemann surface / Class fields / Automorphic function / Taniyama-Shumura conjecture / Limit-formula / Computer algbra / 加法公式 / 二次体の類数 / 複素関数の表示法 / 実験数学 / レ-マン面 / 類体の構成 / 保型関数 / 谷山-志村予想 / 極限公式 / Galois group / Division points / Abelian variety / Jacobian variety / Algebraic curve / 等分点 / スーパーシンギュラー素点 / モジュラー方程式 / 虚2次体 / ジーゲル関数 / クロネッカー極限公式 / 代数群 / 有限群の表現 / アルチンのL関数 / 保型関数と保型形式 / ガロワ拡大体 / 標準的べき級数 / 保型関数体 / ヤコビ多様の整数論 / 等分点の体 / 分解法則 … More
Except Principal Investigator
楕円曲線 / 有限群 / 代数群 / Jacobian group / Information Security / Discrete Logarithm / Non Singular Curve / 整数論 / Index Calculus / 情報セキュリティ / 代数曲線 / ヤコビアン群 / 位数計算 / 離散対数問題 / 非特異代数曲線 / non-associative algebras / Twisotr thoery / the Painleve equation / モノドロミ保存変形 / 超幾何微分方程式 / 可積分系 / パンルベ方程式 / τ函数 / パンルベ函数 / 非結合代数 / ツイスタ理論 / パンルヴェ方程式 / Trace / Frobenius endomorphism / Elliptic curve cryptosystems / Elliptic crve / Defining equation / Generators / Modular function field / トレース / フロベニウス準同型 / 楕円暗号 / 定義方程式 / 生成元 / モジュラー関数体 / Adels geometry / Tamagawa number / Flag variety / Reduction theory / Algebraic groud / Hermite constant / 代数多様体の有理点 / 旗多様体 / 節約理論 / アデール幾何 / 玉河数 / 旗多様性 / 簡約理論 / エルミート定数 / entangled state / asymptotics / coding theory / entropy / random matrix / quantum channel / quantum estimation / quantum information / 直交性 / 操作的容量 / エンタングルド状態 / 漸近理論 / 符号理論 / エントロピー / ランダム行列 / 量子通信路 / 量子推定理論 / 量子情報理論 / TATE CONJECTURE / HYPERGEOMETRIC POLYNOMIALS / UNITS / DIHEADRAL EXTHENSIONS / CUBIC FIELDS / QUADRATIC FIELDS / CLASS NUMBERS / CLASS FIELD THEORY / 算術的三角群 / 奇数次巡回拡大 / 一次分数変換 / ゼータ関数 / Batyrev-Manin予想 / 算術的有限部分群 / 一般Lucas数列 / Tate予想 / 超幾何多項式 / 単数 / ダイヘドラル拡大 / 3次体 / 2次体 / 類数 / 類体論 / Automorphic forms / Combinatorics / Algebraic geometry / Analytic number theory / semi-groups / Representation theory / Finite groups / Rings / 代数的組み合せ論 / 組み合せ数学 / 解折数論 / 半群論 / 表現論 / 多元環 / 環論 / 群論 / 母関数 / 代数的整数論 / 保型形式 / ゼ-タ関数 / 組み合せ論 / 代数幾何 / 多元環の表現論 / 絡み目の不変量 / ヘッケ環 / 半単純リー環の共役類 / 既約表現 / 内的シミュレ-ション / メタレベル表現 / 動的パ-タン学習 / オ-トマン / 神経回路網 / 究極的ノルム連続 / 離散固有値 / 構造作用素 / 安定化 / 解半群 / 基本解 / 時間遅れ Less
  • Research Projects

    (17 results)
  • Co-Researchers

    (60 People)
  •  Discrete Logarithm Problem Nd Information Security

    • Principal Investigator
      SUZUKI Joe
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Geometry of Numbers on Homogeneous Spaces and Generalized Hermite Constants

    • Principal Investigator
      WATANABE Takao
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  GENERATORS AND DEFINING EQUATIONS OF MODULAR FUNCTION FIELDS

    • Principal Investigator
      ISHII Noburo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Prefecture University
  •  Non-Abelian gauge fields end Painleve functions

    • Principal Investigator
      OHYAMA Yousuke
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka University
  •  Operational methods in quantum information theory

    • Principal Investigator
      FUJIWARA Akio
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  数式処理による代数曲線のヤコビ多様体の整数論Principal Investigator

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  COMPOSITE STUDY IN CLASS FIELD THEORY AND RELATED TOPICS

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Experimental Method of MathematicsPrincipal Investigator

    • Principal Investigator
      YAMAMOTO Yoshihiko
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Arithmetics on Jacobian VarietiesPrincipal Investigator

    • Principal Investigator
      YAMAMOTO Yoshihiko
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  アーベル多様体の整数論Principal Investigator

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  環境の動的構造を学習する神経回路網の研究

    • Principal Investigator
      辻下 徹
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Osaka University
  •  楕円曲線の整数論Principal Investigator

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  Synthetic research on algebra

    • Principal Investigator
      KITAOKA Yoshiyuki
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  偏微分方程式の作用素論的研究

    • Principal Investigator
      田邊 廣城
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      Osaka University
  •  クロネッカー極限公式と虚数乗法論Principal Investigator

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  有限群と代数群の表現論

    • Principal Investigator
      川中 宣明, 川中 宜明
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  ガロワ拡大体の構造Principal Investigator

    • Principal Investigator
      山本 芳彦
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  • 1.  MIYANISHI Masayoshi (80025311)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  MURAKAMI Jun (90157751)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  OGAWA Hiroyuki (70243160)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  川中 宣明 (10028219)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  SUZUKI Joe (50216397)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  川久保 勝夫 (50028198)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  OHYAMA Yohsuke (10221839)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  田邊 廣城 (70028083)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  KITAOKA Yoshiyuki (40022686)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  HIBI Takayuki (80181113)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  FUJIWARA Akio (30251359)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  YAMAZAKI Yohei (00093477)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  辻下 徹 (10107063)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  小林 毅 (00186751)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  坂根 由昌 (00089872)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  永尾 汎 (40028080)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  YOKOI Hideo (50023560)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  SHIRATANI Katsumi (80037168)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  IHARA Yasutaka (70011484)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  HIJIKATA Hiroaki (00025298)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KIYOKAZU Nagatomo (90172543)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  HIRAMINE Yutaka (30116173)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  MIYAKE Katsuya (20023632)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  MORITA Yasuo (20011653)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  KOIKE Masao (20022733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  NAKAMULA Ken (80110849)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KOMATSU Gen (60108446)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  MANABE Shojiro (20028260)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  SUGIMOTO Mitsuru (60196756)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  ENOKI Ichiro (20146806)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  TAKAGOSHI Kensho (20188171)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  WATANABE Takao (30201198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  NAMBA Makoto (60004462)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  ISHII Noburo (30079024)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  KOTANI Shin-ichi (10025463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  CHAWANYA Tsuyoshi (80294148)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  IBUKIYAMA Tomoyoshi (60011722)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  HARASAWA Ryuichi (10363467)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  FUJIWARA Tohru (70190098)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  磯崎 洋 (90111913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  渡辺 毅 (50028081)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  井川 満 (80028191)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  張 徳棋 (20217269)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  角田 秀一郎 (60144424)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  平地 健吾 (60218790)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  新田 貴士 (20202244)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  小礎 深幸 (10178189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  佐竹 郁夫 (80243161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  宇野 勝博 (70176717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  西口 健二 (30172646)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  金子 昌信 (70202017)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  川中子 正 (20214661)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  横川 光司 (40240189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  足立 恒雄 (60063731)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  栗原 将人 (40211221)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  伊達 悦朗 (00107062)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 58.  高橋 智 (70226835)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 59.  鹿野 忠良 (80028183)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  川中 宜明
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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