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NAKAMULA KEN  中村 憲

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… Alternative Names

NAKAMULA Ken  中村 憲

NAKAMURA Ken  中村 憲

中村 憲  ナカムラ ケン

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Researcher Number 80110849
Other IDs
External Links
Affiliation (Current) 2022: 東京都立大学, 理学研究科, 客員教授
Affiliation (based on the past Project Information) *help 2012 – 2015: 首都大学東京, 理工学研究科, 客員教授
2011 – 2012: 首都大学東京, 理工学研究科, 教授
2008: 首都大学東京, 理工学研究科, 教授
2008: 首都大学東京, 都市教養学部・理工系, 教授
2006 – 2007: 首都大学東京, 大学院・理工学研究科, 教授 … More
2006: 首都大学東京, 大学院理工学研究科, 教授
2005: 首都大学東京, 都市教養学部, 教授
2005: 首都大学東京, 都市教養学部・理工学系, 教授
1997 – 2004: 東京都立大学, 理学研究科, 教授
2001: TMU, Faculty of Science, Professor, 理学(系)研究科(研究院), 教授
1998: Tokyo Metropolitan University, Graduate School of Sciences, Professor, 大学院・理学研究科, 教授
1996: 東京都立大学, 理学部, 助教授
1994: 東京都立大学, 理学部・数学科, 助教授
1993 – 1994: 東京都立大学, 理学部, 助教授
1987 – 1988: 東京都立大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / 代数学・幾何学 / Geometry / Algebra / Geometry
Keywords
Principal Investigator
TNT / NZMATH / Python / 整数論 / コンピュータ / アルゴリズム / ソフト / データ / ネットワーク / メイリングリスト … More / 数論アルゴリズム / 数体 / 量子公開鍵暗号 / 国際研究者交流 / 数論システム / 暗号理論 / 楕円曲線 / JANT / SIMATH / ナップサック暗号 / ナップサック問題 / 低密度攻撃 / 国際研究者交流 (ドイツ) / 部分和問題 / 国際研究者交流 (シドニー) / 公開鍵暗号 / 量子計算機 / 国際研究者交流 (フランス, ドイツ) / 国際研究者交流 (シドニー, ドイツ) / number theory / computer / algorithm / software / database / network / mailing list / 加法鎖 / 64ビット / 円楕円法CEM / 計算機実験 / 楕円曲線暗号 / 多国籍 / Number Theoretic Algorithms / Systems for Number Theory / Cryptology / Elliptic Curves / algorithmic number theory / cryptologic research / system for number theory … More
Except Principal Investigator
超平面配置 / 超幾何積分 / 鏡映群 / 局所系コホモロジー / イデアル類群 / 3次体 / hyperplane arrangement / local system cohomology / reflection group / 岩澤理論 / 岩澤主予想 / Iwasawa theory / トポロジー / 可積分系 / 類数 / 単数 / 2次体 / ダイヘドラル拡大 / 超幾何多項式 / 算術的三角群 / HYPERGEOMETRIC POLYNOMIALS / hypergeometric integral / ideal class group / generic polynomial / 楕円曲線 / コクセター群 / 対数的微分型式 / 対数的微分 / 多重超平面配置 / 幾何学 / 量子コホモロジー / コンピュータ実験 / 可視化 / 計算機システム / 可視可 / 量子物理 / コンピューター実験 / 基本単数(系) / 類数公式 / 代数群 / 不変式 / モノドロミー / 鏡映 / 類体論 / Tate予想 / 一般Lucas数列 / 算術的有限部分群 / Batyrev-Manin予想 / ゼータ関数 / 一次分数変換 / 奇数次巡回拡大 / CLASS FIELD THEORY / CLASS NUMBERS / QUADRATIC FIELDS / CUBIC FIELDS / DIHEADRAL EXTHENSIONS / UNITS / TATE CONJECTURE / コクセタ-群 / 部分的多様体 / 微分幾何学 / 曲線 / 曲面 / 曲率 / 幾何構造 / 情報交換システム / 部分多様体 / 平均曲率 / 極小曲面 / 調和写像 / Gauss写像 / 曲面上の曲線 / 可積分素 / Submanifold / Differential Geometry / Curve / Surface / Curvature / System for dissemination of research / グリーンバーグ予想 / 最大アーベル拡大 / セルマ-群 / Greenberg conjecture / maximal abelian extension / 結び目理論 / エネルギー / 低次元トポロジー / 結び目のエネルギー / topology / knot / energy / ガウス・マニン接続 / KZ方程式 / 対数的極 / 組合せ同値 / hyper geometric integral / ガロアの逆問題 / 二面体拡大 / 生成的多項式族 / ネター問題 / モジュライ空間 / Greenberg予想 / 三面体拡大 / ハセの問題 / 二面体群 / l進多重対数函数 / Dutta重複度 / 素数グラフ / モンスター単純群 / Scholz予想 / 類数問題 / 近藤予想 / 組紐群 / グロタンディーク・タイヒミュラー群 / INVERSE PROBLEM OF GALOIS / DIHEDRAL EXTENSIONS / GENERIC FAMILY OF POLYNOMIALS / NOETHER PROBLEM / SPACE OF MODULI / ARITHMETIC TRIANGULAR GROUPS / GREENBERG CONJECTURE / テイトシャファレビッチ群 / スーパーシンギュラー還元 / テイトーシャファレビッチ群 / 岩澤不変量 / ティトーシャファレビッチ群 / スーパーシンギュラーリダクション / elliptic curve / Tate-Shafarevich group / supersingular reduction / 岩澤加群 / Fittingイデアル / Stickelbergerイデアル / Iwasawa main conjecture / Iwasawa module / Fitting ideal / Mordell曲線 / 3次生成的多項式 / Mordell-Weil群 / Mordell-Weil rank / 楕円曲面 / Miranda-Perssonの問題 / 3次巡回体 / 生成多項式 / Hilbert's Th.90 / 3次twist / Fermat3次曲線 / Cubic Field / Mordell Curve / Elliptic Curve / Cubic Generic Polynomial / Mordell-Weil Group / Mordell-Weil Rank / Elliptic Surface / Miranda-Persson's Problem Less
  • Research Projects

    (25 results)
  • Research Products

    (68 results)
  • Co-Researchers

    (72 People)
  •  Realization of public key cryptosystems using number fields with registance to quantum computersPrincipal Investigator

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on key generation and security of quantum public keycryptosystems over number fieldsPrincipal Investigator

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      2011 – 2012
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on quantum cohomology, Frobenius manifolds, and harmonic maps related to integrable systems

    • Principal Investigator
      MARTIN Guest
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Hyperplane arrangements and their applications

    • Principal Investigator
      TERAO Hiroaki
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
      Tokyo Metropolitan University
  •  Development of a system for number theory by script language and related research on algorithmic number theoryPrincipal Investigator

    • Principal Investigator
      NAKAMURA Ken
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Refinement of Iwasawa theory and its applications

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on arrangements of hyperplane

    • Principal Investigator
      THRAO Hiroaki
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan 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
  •  Study on Number Theoretic Algorithms and Developments of Systems for Number TheoryPrincipal Investigator

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Research on arrangements of hyperplanes

    • Principal Investigator
      TERAO Hiroaki
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan Univ.
  •  THE INVERSE PROBLEM OF GALOIS AND ITS APPLICATION TO NUMBER THEORY

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Grant-in-Aid for Scientific Research(C)(2)

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Data Computation and Software Development in Number Theory by ComputersPrincipal Investigator

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Energy of knots (existence of energy minimizers and numerical experiment)

    • Principal Investigator
      KURATA Toshihiko, IMAI Jun
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Metropolitan University
  •  Study of Hyperplane Arrangements

    • Principal Investigator
      TAKEDA Yuichiro, 寺尾 宏明
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
      Hokkaido University
  •  DIFFERENTIAL GEOMETRIC RESEARCH ON SUBMANIFOLDS AND STUDY OF SYSTEMS FOR THE EFFECTIVE DISSEMINATION OF RESEARCH

    • Principal Investigator
      OGIUE Koichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  P-adic L-functions of modular forms and the Euler systems

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  整数論のアルゴリズム,データベース,コンピュータ実験Principal Investigator

    • Principal Investigator
      中村 憲
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan 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
  •  超幾何関数への基本群の表現とそのl進類似

    • Principal Investigator
      寺杣 友秀
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tokyo Metropolitan University
  •  整数論のアルゴリズム、データベース、コンピュータ実験Principal Investigator

    • Principal Investigator
      中村 憲
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  代数多様体のガウス-マニン系と、そのl進コホモロジーでの類似

    • Principal Investigator
      TERASOMA Tomohide
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Tokyo Metropolitan University
  •  代数多様体の積分周期及びその有限体上での類似

    • Principal Investigator
      寺杣 友秀
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  半単純代数群の不変式論

    • Principal Investigator
      中島 晴久
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Metropolitan University
  •  代数体の整数論

    • Principal Investigator
      石田 信
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokyo Metropolitan University

All 2013 2012 2011 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] ブックガイド整数論「数学ガイダンスhyper」2005

    • Author(s)
      中村 憲
    • Total Pages
      6
    • Publisher
      日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Improvement of key generation for a number field based knapsack cryptosystem2013

    • Author(s)
      MIYAMOTO, Yasunori; NAKAMULA, Ken
    • Journal Title

      JSIAM Letters

      Volume: 5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400019
  • [Journal Article] Improvement of key generation for a number field based knapsack cryptosystem2013

    • Author(s)
      MIYAMOTO, Yasunori, NAKAMULA, Ken
    • Journal Title

      JSIAM Letters

      Volume: Vol.5 Pages: 45-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Journal Article] 数論システム NZMATH の使い方, 計算機代数システムの進展2011

    • Author(s)
      中村 憲
    • Journal Title

      九州大学マス・フォア・インダストリ研究所

      Pages: 77-89

    • Data Source
      KAKENHI-PROJECT-23654014
  • [Journal Article] 数論システム NZMATH の使い方2011

    • Author(s)
      中村 憲
    • Journal Title

      計算機代数システムの進展

      Volume: -

    • Data Source
      KAKENHI-PROJECT-23654014
  • [Journal Article] On the proof that PRIMES is in P2008

    • Author(s)
      K. Nakamula
    • Journal Title

      Sugaku Expositions 21

      Pages: 161-176

    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] OTU2000の鍵生成および関連する問題について2008

    • Author(s)
      西本 啓一郎and中村 憲
    • Journal Title

      日本応用数理学会論文誌 18-1

      Pages: 185-197

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Otu2000の鍵生成および関連する問題について2008

    • Author(s)
      西本啓一郎, 中村憲
    • Journal Title

      日本応用数理学会 論文誌 18

      Pages: 185-197

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Constructing pairing-friendly elliptic curves using factorization of cyclotomic polynomials2008

    • Author(s)
      S. Tanaka, K. Nakamula.
    • Journal Title

      Lecture Notes in Comput. Sci. 5209

      Pages: 136-145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] On value-relations,functional relations and singularities of Mordell-Tornheim and related triple zeta-functions2008

    • Author(s)
      Kohji Matsumoto, Takashi Nakamura Hiroyuki Ochiai and Hirofumi Tsumura
    • Journal Title

      Acta Arith. 132-2

      Pages: 99-125

    • NAID

      120002239176

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Functional relations and special values of Mordell-Tornheim triple zeta and L-functions2008

    • Author(s)
      Kohji Matsumoto, Takashi Nakamura and Hirofumi Tsumura
    • Journal Title

      Proc.Amer.Math.Soc. V136No.6

      Pages: 2135-2145

    • NAID

      120002232143

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Knapsack暗号への攻撃を効果的にするためのsampling reduction の改良と考察2008

    • Author(s)
      小泉賢洋, 中村憲, 他
    • Journal Title

      日本応用数理学会 論文誌 18

      Pages: 687-701

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Constructing pairing-friendly elliptic curves using factorization of cyclotomic polynomials2008

    • Author(s)
      S.Tanaka and K.Nakamula
    • Journal Title

      In Pairing-Based Cryptography-Pairing 2008 Vol.5209(of LNCS)

      Pages: 136-145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Knapsack 暗号への攻撃を効果的にするためのsampling reduction の改良と考察2008

    • Author(s)
      小泉, 宮澤, 内山, 中村憲
    • Journal Title

      日本応用数理学会論文誌 18(4)

      Pages: 687-701

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] 平方ペアリングの実装効率について2008

    • Author(s)
      C. A. Antonio, S. Tanaka, K. Nakamula
    • Journal Title

      日本応用数理学会 論文誌 18

      Pages: 703-721

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] On the proof that {PRIMES} is in {P}2008

    • Author(s)
      K.Nakamula
    • Journal Title

      Sugaku Expositions 21(2)

      Pages: 161-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] On Key generation of OTU2000 and related problems2008

    • Author(s)
      K, Nishimoto, Ken, Nakamula
    • Journal Title

      Transactions of the JSIAM 18

      Pages: 185-197

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] 平方ペアリングの実装効率について2008

    • Author(s)
      C.A.Antonio, S.Tanaka, and K.Nakamula
    • Journal Title

      日本応用数理学会論文誌 18(4)

      Pages: 703-721

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] Otu2000の鍵生成および関連する問題について2008

    • Author(s)
      西本啓一郎, 中村憲
    • Journal Title

      日本応用数理学会論文誌 18(1)

      Pages: 185-197

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Journal Article] ベアリングベースの楕円曲線暗号に適した曲線の構成法2007

    • Author(s)
      田中覚、中村憲
    • Journal Title

      日本応用数理学会論文誌 17-4

      Pages: 595-606

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] More constructing pairing friendly elliptic curves for cryptography2007

    • Author(s)
      Satoru, Tanaka, Ken, Nakamula
    • Journal Title

      Transactions of the JSIAM 17

      Pages: 595-606

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] ベアリングベースの楕円曲線暗号に適した曲線の構成法2007

    • Author(s)
      田中 覚、中村 憲
    • Journal Title

      日本応用数理学会論文誌 17-4

      Pages: 595-606

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Computer experiment on key generation for the quantum public key cryptosystem over quadratic fields2006

    • Author(s)
      NISHIMOTO, K.; NAKAMULA, K.
    • Journal Title

      数論・組合せ論研究集会2006, 東北大学, 報告集

      Pages: 59-70

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Computer experiment on key generation for the quantum public key cryptosystem over quadratic fields2006

    • Author(s)
      NISHIMOTO, K., NAKAMULA, K.
    • Journal Title

      数論・組合せ論研究集会2006,報告集(東北大学)

      Pages: 59-70

    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Computer experiment on key generation for the quantum public keycryptosystem over quadratic fields2006

    • Author(s)
      K, Nishimoto, K, Nakamula
    • Journal Title

      Proc. Of Symposium on Number Theory and Combinations

      Pages: 59-70

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] New polynomials producing absolute pseudoprimes with many factors.2005

    • Author(s)
      K.Nakamula et al.
    • Journal Title

      Number Theory Conference, 2005, Berlin. (オンライン出版http://www.math.tu-berlin.de/~kant/MP60/)

      Pages: 1-27

    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] 数論アルゴリズムと暗号2005

    • Author(s)
      中村 憲
    • Journal Title

      日本科学者会議「日本の科学者」 40-3

      Pages: 128-133

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] 素数判定PRIMESが決定性多項式時間Pである事の証明について2004

    • Author(s)
      中村 憲
    • Journal Title

      数学 56

      Pages: 73-87

    • NAID

      10013123482

    • Data Source
      KAKENHI-PROJECT-14340016
  • [Journal Article] Computer experiment on key generation for the quantum public key cryptosystem over quadratic fields.

    • Author(s)
      K.Nakamula et al.
    • Journal Title

      国際研究集会「代数学と計算」2005,首都大学東京,報告集. (オンライン出版予定ftp://tnt.math.metro-u.ac.jp/pub/ac05/)(出版予定)

    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] On value-relations, functional relations, singularities of Mordell-Tornheim triple zeta-functions

    • Author(s)
      K, Matsumoto, T, Nakamura, H, Ochiai, H, Tsumura
    • Journal Title

      Acta Arith. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] 数論システムNZMATHへの有限素体上の楕円曲線,超楕円曲線と虚二次体の実装.

    • Author(s)
      中村憲 他4名
    • Journal Title

      国際研究集会「代数学と計算」2005,首都大学東京,報告集. (オンライン出版予定ftp://tnt.math.metro-u.ac.jp/pub/ac05/)(出版予定)

    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Computer experiment on key generation for the quantum public key cryptosystem over quadratic fields

    • Author(s)
      K.Nakamula et al.
    • Journal Title

      数論・組合せ論研究集会2006,東北大学,報告集. (印刷中)

    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Functional relations and special values of Mordell-Tornheim triple zeta and L-functions

    • Author(s)
      Kohji, Matsumoto, Takashi, Nakamura, Hirofumi, Tsumura
    • Journal Title

      Proc. Amer. Math. Soc. (to appear)

    • NAID

      120002232143

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Journal Article] Functional relations and special values of Mordell-Tornheim triple zeta and L-functions

    • Author(s)
      Matsumoto, T. Nakamura, H. Tsumura
    • Journal Title

      Proc. AMS. (to appear)

    • NAID

      120002232143

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] 数論システム NZMATH の有効活用について (3)2012

    • Author(s)
      中村 憲
    • Organizer
      日本応用数理学会 2012年度年会
    • Place of Presentation
      稚内 全日空ホテル
    • Year and Date
      2012-08-29
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] 平方 Weil ペアリングと簡約 Tate ペアリングの計算量評価と数値実験2012

    • Author(s)
      平野 正樹, 中村 憲
    • Organizer
      日本応用数理学会 研究部会連合発表会 (第8回)
    • Place of Presentation
      九州大学
    • Year and Date
      2012-03-09
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] ナップサック暗号の数体を利用した鍵生成法の改良と考察2012

    • Author(s)
      宮本 泰徳, 中村 憲
    • Organizer
      日本応用数理学会研究部会連合発表会(第8回)
    • Place of Presentation
      九州大学
    • Year and Date
      2012-03-09
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] 平方 Weil ペアリングと簡約 Tate ペアリングの計算量評価と数値実験2012

    • Author(s)
      平野 正樹, 中村 憲
    • Organizer
      日本応用数理学会 研究部会 連合発表会 (第 8 回)
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] ナップサック暗号の数体を利用した鍵生成法の改良と考察2012

    • Author(s)
      宮本 泰徳, 中村 憲
    • Organizer
      日本応用数理学会 研究部会 連合発表会 (第 8 回)
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] 数論システム NZMATH の使い方2011

    • Author(s)
      中村 憲
    • Organizer
      研究集会 計算機代数システムの進展
    • Place of Presentation
      九州大学
    • Year and Date
      2011-08-29
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] 数論システム NZMATH の使い方2011

    • Author(s)
      中村 憲
    • Organizer
      研究集会 計算機代数システムの進展(招待講演)
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] 数論システム NZMATH の有効活用について (2)2011

    • Author(s)
      田中 覚, 中村 憲, 宮本 泰徳, 平野 正樹
    • Organizer
      日本応用数理学会 2011年度年会
    • Place of Presentation
      同志社大学
    • Year and Date
      2011-09-16
    • Data Source
      KAKENHI-PROJECT-23654014
  • [Presentation] Quantum Public Key Cryptosystem and Implementation over Imaginary Quadratic Fields2009

    • Author(s)
      K. Nakamula
    • Organizer
      MAGMA Group
    • Place of Presentation
      University of Sydney
    • Year and Date
      2009-02-12
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Presentation] Quantum Public Key Cryptosystem and Implementation over2009

    • Author(s)
      K.Nakamula
    • Organizer
      Imaginary Quadratic Fields
    • Place of Presentation
      Univ. of Sydney
    • Year and Date
      2009-02-12
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Presentation] Invitation to the NZMATH system for number theory2008

    • Author(s)
      K.Nakamula
    • Organizer
      Univ
    • Place of Presentation
      of the Philippines Diliman(招待講演)
    • Year and Date
      2008-05-24
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Presentation] Knapsack暗号への攻撃を効果的にするためのSamplingReductionの改良と考察2008

    • Author(s)
      小泉 賢洋, 内山 成憲, 中村 憲
    • Organizer
      日本応用数理学会研究部会連合発表会
    • Place of Presentation
      首都大学東京12号館102号室
    • Year and Date
      2008-03-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] SFLASH署名方式への攻撃法の実装について2008

    • Author(s)
      小椋 直樹, 内山 成憲, 中村 憲
    • Organizer
      The 2008 Symposium on Cryptography and Information Security
    • Place of Presentation
      SCIS 2008,Miyazaki,講演
    • Year and Date
      2008-01-24
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Knapsack暗号への攻撃を効果的にするためのSampling Reductionの改良と考察2008

    • Author(s)
      小泉 賢洋, 内山 成憲, 中村 憲
    • Organizer
      日本応用数理学会研究部会連合発表会
    • Place of Presentation
      首都大学東京12号館102号室
    • Year and Date
      2008-03-08
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Constructing pairing-friendly elliptic curves using factorization of cyclotomic polynomials2008

    • Author(s)
      S. Tanaka, K. Nakamula
    • Organizer
      The 2nd International Conference on Pairing-Based Cryptography (Pairing 2008)
    • Place of Presentation
      Royal Holloway, University of London, Egham
    • Year and Date
      2008-09-01
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Presentation] Constructing pairing-friendly elliptic curves using factorization of cyclotomic polynomials2008

    • Author(s)
      S.Tanaka, K.Nakamula
    • Organizer
      Univ
    • Place of Presentation
      of London
    • Year and Date
      2008-09-01
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Presentation] 虚二次体上のOTU2000が生成するナップサック問題について2008

    • Author(s)
      西本 啓一郎, 中村 憲
    • Organizer
      日本応用数理学会研究部会連合発表会
    • Place of Presentation
      首都大学東京12号館102号室
    • Year and Date
      2008-03-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Invitation to the NZMATH system for number theory2008

    • Author(s)
      K. Nakamula
    • Organizer
      The 35th Annual Convention of the Math. Soc. of the Philippines
    • Place of Presentation
      Univ. of the Philippines Diliman
    • Year and Date
      2008-05-24
    • Data Source
      KAKENHI-PROJECT-18204005
  • [Presentation] 数論システム{\tt{NZMATH}}開発の現状と課題2007

    • Author(s)
      田中 覚, 西本 啓一郎, 松井 鉄史, 内山 成憲, 中村 憲
    • Organizer
      第七回代数学と計算研究集会
    • Place of Presentation
      首都大学東京,講演
    • Year and Date
      2007-12-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] ペアリングベースの楕円曲線暗号に適した曲線の構成法2007

    • Author(s)
      田中 覚 and 中村 憲
    • Organizer
      応用数理学会 研究部会 連合発表会(第3回)
    • Place of Presentation
      名古屋大学,講演
    • Year and Date
      2007-03-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] 数論システムNZMATH開発の現状と課題2007

    • Author(s)
      田中覚, 西本啓一郎, 松井鉄史, 内山成憲, 中村憲
    • Organizer
      AC2007
    • Place of Presentation
      首都大学東京国際交流会館
    • Year and Date
      2007-12-06
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] 虚2次体のイデアル類群計算の実装2007

    • Author(s)
      齋藤 健太郎 and 中村
    • Organizer
      応用数理学会研究部会連合発表会(第3回)
    • Place of Presentation
      名古屋大学,講演
    • Year and Date
      2007-03-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] すぐ使える数論システム{\tt{NZMATH}}2007

    • Author(s)
      市来 信吾, 小椋 直樹, 小泉 賢洋, 西本 啓一郎, 田中 覚, 松井 鉄史, 内山 成憲 and 中村 憲
    • Organizer
      第七回代数学と計算研究集会
    • Place of Presentation
      首都大学東京,講演
    • Year and Date
      2007-12-06
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] 子公開鍵暗号に対する数値実験およびその考察2007

    • Author(s)
      西本 啓一郎 and 中村 憲
    • Organizer
      応用数理学会研究部会連合発表会(第3回)
    • Place of Presentation
      名古屋大学,講演
    • Year and Date
      2007-03-03
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Computer experiment on key generation for the quantum public key cryptosystem over quadratic fields2006

    • Author(s)
      Nishimoto, Keiichiro and Nakamula, Ken
    • Organizer
      仙台数論・組合せ論研究集会2005(第2回)
    • Place of Presentation
      東北大学,講演
    • Year and Date
      2006-01-31
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] 数論システム{{\tt{{NZMATH}}}}の開発と応用2006

    • Author(s)
      中村 憲, 内山 成憲
    • Organizer
      首都大学東京研究シーズ発表会2006
    • Place of Presentation
      東京国際フォーラム
    • Year and Date
      2006-12-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Computer experiment on key generation for the quantum public key cryptosystem over quadratic fields2005

    • Author(s)
      Nishimoto, Keiichiro, Nakamula, Ken
    • Organizer
      Talk at 6th Symposium on Algebra and Computation AC2005
    • Place of Presentation
      TMU.
    • Year and Date
      2005-11-17
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Implementation of imaginary quadratic fields and elliptic or hyperelliptic curves over finite prime fields on the system {{\tt{NZMATH}}} for number theory2005

    • Author(s)
      Antonio, A. Christine Saito, Kentaro, Tanaka, Satoru, Asuncion, Janice, S. Nakamula, Ken
    • Organizer
      Talk at 6th Symposium on Algebra and Computation AC2005
    • Place of Presentation
      TMU
    • Year and Date
      2005-11-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Implementation of imaginary quadratic fields and elliptic or hyperellipiic cu「rves over finite prime fields on the system{{\tt{NZMATH}}}for number theory2005

    • Author(s)
      Antonio, Christine A.and Saito, Kentaro and Tanaka, Satoru and Asuncion, Janice S.and Nakamula, Ken
    • Organizer
      Talk at 6th Symposium on Algebra and Computation AC2005
    • Place of Presentation
      TMU
    • Year and Date
      2005-11-16
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Computer experiment on key generation for the quantum public key cryptosystem over quadratic fields2005

    • Author(s)
      Nishimoto, Keiichiro and Nakamula, Ken
    • Organizer
      Talk at 6th Symposium on Algebra and Computation AC2005
    • Place of Presentation
      TMU
    • Year and Date
      2005-11-17
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] New polynomials producing absolute pseudoprimes with many factors2005

    • Author(s)
      Nakamula, Ken, Tsumura, Hirofumi and Komai, Hiroaki
    • Organizer
      Talk at Number Theory Conference MP60
    • Place of Presentation
      TU-Berlin,Berlin.
    • Year and Date
      2005-07-10
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] New polynomials producing absolute pseudoprimes with many factors2005

    • Author(s)
      Nakamula, Ken, Tsumura, Hirofumi, Komai, Hiroaki
    • Organizer
      Talk at Number Theory Conference MP60
    • Place of Presentation
      TU-Berlin, Berlin.
    • Year and Date
      2005-06-10
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Developing a System for Number Theory by Script Llanguage -Announcement of the Research of{{\tt[NZMATH】}}0.1.12004

    • Author(s)
      Nakamula, ken and Matsui, Tetsushi
    • Organizer
      International Conference on Algorithms and Number Theory
    • Place of Presentation
      Dagstuhl
    • Year and Date
      2004-05-17
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
  • [Presentation] Developing a System for Number Theory by Script Language - Announcement of the Release of {{\tt{NZMATH}}} 0.1.1 -2004

    • Author(s)
      Nakamula, Ken, Matsui, Tetsushi
    • Organizer
      International Conference on Algorithms and Number Theory Dagstuhl
    • Year and Date
      2004-05-17
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340011
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    # of Collaborated Products: 0 results
  • 36.  福田 隆 (00181272)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 37.  SERGEI V. Ketov (70347269)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  YAMAMOTO Yoshiyuki (90028184)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  MAEDA Sadahiro (40181581)
    # of Collaborated Projects: 1 results
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  • 40.  KENMOTSU Katsuei (60004404)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  UDAGAWA Seiichi (70193878)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  KATO Kazuya (90111450)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  DEGUCHI Tetsuo (70227544)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  YAMAKI Hiroyoshi (60028199)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  HASHIMOTO Ki-ichiro (90143370)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  NAKANO Shin (40180327)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  UCHIYAMA Shigenori (40433172)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 14 results
  • 48.  SUZUKI Toshio (30235973)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  山下 慎二 (30087019)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  松井 泰子 (10264582)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  小林 正典 (60234845)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  赤穂 まなぶ (30332935)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  河野 俊丈 (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  菅野 浩明 (90211870)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  小林 真平 (40408654)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  酒井 高司 (30381445)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  石田 信 (40087010)
    # of Collaborated Projects: 1 results
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  • 58.  三木 博雄 (90107368)
    # of Collaborated Projects: 1 results
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  • 59.  石川 武志 (10087017)
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  • 60.  足立 恒雄 (60063731)
    # of Collaborated Projects: 1 results
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  • 61.  中村 郁 (50022687)
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  • 62.  諏訪 立雄 (40109418)
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  • 63.  泉屋 周一 (80127422)
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  • 64.  濱田 龍義 (90299537)
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  • 65.  塩浜 勝博 (20016059)
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  • 66.  塚田 和美 (30163760)
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    # of Collaborated Products: 0 results
  • 67.  岡崎 龍太郎 (20268113)
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    # of Collaborated Products: 0 results
  • 68.  阿原 一志 (80247147)
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    # of Collaborated Products: 0 results
  • 69.  横山 和弘 (30333454)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 70.  福永 力 (00189961)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 71.  OKAMOTO Tatsuaki
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 72.  GUEST Martin
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 12 results

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