NAKAHARA Toru 中原徹

… Alternative Names

MORI Toru

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Researcher Number	50039278
External Links
Affiliation (based on the past Project Information) *help	2010: Saga University, 佐賀大学, 名誉教授 2008 – 2010: Saga University, 名誉教授 1995 – 2007: 佐賀大学, 理工学部, 教授 1987 – 1993: 佐賀大学, 理工学部, 教授 1988: Saga University, Faculty of Science and Engineering; Professor 1986: 佐賀大学, 理工学部, 教綬
Review Section/Research Field	Principal Investigator Algebra / Algebra / 代数学・幾何学 Except Principal Investigator Algebra / Algebra / 代数学・幾何学 / 解析学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 代数幾何符号 / Hasseの問題 / Hasse's Problem / エルミート符号 / タイヒミュラー基本亜群 / 整数環の巾底 / 類数 / Hermitian code / Galois representation / Mordell曲線 … More / 楕円曲線 / Mordell Curve / 最小距離 / 巾底 / 基本単数 / Stanley-Reisner環 / 保型形式 / 2次体 / Stanley-Reisner ring / Trace-norm code / Modular forms / Cyclic extension of degree p-1 / Integral basis / 超グラフ / LDPC符号 / 保型形式のフーリエ係数 / 超幾何微分方程式 / 不定方程式 / ハッセの問題 / Siegel 保型形式 / p-1次巡回拡大 / 整数基 / 特殊線形群 / Verlinde's formula / Elliptic curve / Class number / Integral power basis / The ring of an abelian extension / Buchsbaum Stanley-Reisner ring / チャウ多様体 / 連立ベル方程式 / RSA署名 / ポリアーベル拡大の整数環 / Galois表現 / フェアリンデの公式 / アーベル拡大の整数環 / Algebraic Geometry Code / Elliptic Curve / Neron-Tate Height / Teichmueller grounoid / Fundamental Unit / Power Intetral basis / p進表現 / 基本単数系と類数 / タイヒミューラー基本亜群 / 代数曲線 / Mordell Curves / 3次体 / Yokoi-Chowla予想 / 類群及び単数群の構造 / ネロン・テイト高さ / 整数還の巾底 / minimum distance / algebraic-geometric code / explicit reciprocity law / Teichmuller groupoid / unramified cyclic extension / power basis / class number / fundamental unit / タイムヒーラー基本亜群 / 相互法則 / チャウ形式 / タイヒムーラー基本亜群 / ガロアの逆問題 / 一般相互法則 / 不分岐巡回拡大 / 代数曲線の一般射影及びchow形式 / ベルヌイ数 / 円単数とヤコビの和 / Hasse-Witt行列 / 一変数代数関数体 / 類群の構造探査へのグラフ理論の援用 / イデアル類群の階数評価 / 二次体 / 量子空間 / chow形式 / 局所体 / 類数公式 / 単数 / 類数の可除性 / 頂切離散附値環 / mod p表現 / 射影多様体 / ガロア表現 / Serreの保型性予想 / Cohen-Macaulay性 / Bughsbaum多様体 / 実二次体 / モノミアルイデアル / 分割関数 / symplectic group / 一点型代数幾何符号 / モノミアルイデアル / Buchsbaum多様体 / 頂切離散付値環 / 純6次体 / 代数的整数論 / 半線形楕円型方程式 / ファジーネス / タイヒミュラー空間 / ディリクレの類数公式 … More Except Principal Investigator モジュライ空間 / 代数曲線 / リーマン面 / タイヒミュラー基本亜群 / モノドロミー表現 / 代数幾何符号 / Stanley-Reisner環 / 超幾何微分方程式 / 極小自由分解 / ガロア表現 / Moduli space / ショットキー群 / 保型形式 / Stanley-Reisner 環 / Siegel保型形式 / multiplicity / minimal free resolution / Stanley-Reisner ring / 正則度 / 重複度 / 線形自由分解 / Cohen-Macaulay環 / 整数環の巾底 / 超幾何方程式 / ネロン・テイト高さ関数 / アーベル多様体 / ボゴモロフ予想 / 共形場理論 / Monodromy representation / Riemann surface / Teichmueller groupoid / Algebraic curve / 一意化 / ガロア作用 / 類数 / 円単数 / 円分体 / エルミート符号 / ソリトン方程式 / テ-タ関数 / p進解析 / 漸近挙動 / 減衰解 / 全域解 / 正値解 / Supersolution-subsolution method / Maximal solution / Positive solution / Entire solution / Exterior boundary value problem / Sublinear equation / Quasilinear elliptic equation / supersolution-subsolution法 / 非線形固有値問題 / 極大解 / 優関数・劣関数法 / 初期・境界値問題 / 準線形楕円型方程式 / 最大値原理 / 優関数ー劣関数法 / 極大正値減衰解 / 外部境界値問題 / 劣線形方程式 / 準線形楕円型偏微分方程式 / Castelnuovo-Mumford reaularity / p-adic Siegel modular form / Siegel modular form / Verlinde's formula / Abel-Jacobi's theorem / Vector bundle / Schottky group / モジュライ / フェアリンデ公式 / モノドロミー群 / p進Siegel保型形式 / Verlindeの公式 / Abel-Jacobiの定理 / ベクトル束 / Schottky群 / Riemann面 / Stanley-Reisner rings / Siegel modular forms / Power bases of integer rings / Low density parity check codes / Algebraic cnnstruntion of codes / Algebraic geometry codes / Error-correcting codes / 被約単項式イデアル / LDPC符号 / 最小距離 / Siegel 保型形式 / 低密度パリティ検査 / 整数環のべき基底 / 低密度パリティ検査行列 / 符号の代数的構成 / 誤り訂正符号 / Castelnuovo-Mumford regularity / linear resolution / Cohen-Macaulay ring / Buchsbaum ring / Cohen-Macaulay / Buchsbaum / Castelnuovo-Mumford正則度 / Buchsbaum環 / Stnaley-Reisner環 / HYPERGEOMETRIC EQUATION / NERON-TATE'S HEIGHT / ABELIAN VARIETY / MONODROMY REPRESENTATION / CONFORMAL FIELD THEORY / GALOIS REPRESENTATION / MODULI SPACE / ALGEBRAIC CURVE / 代数曲線とリーマン面 / Minimal Free Resolution / Chow Varieties / Monodromy Representation / Teichmueller Groupoids / Fundamental Units / Minimum Distance of Codes / Algebraic Geometry Codes / Algebraic Function Fields / Stanley-Reisner ideal / Hasseの単数指数 / 1次自由分解 / グラースマン多様体 / チャウ多様体 / 整数還の基本単数 / 符号の最小距離 / 代数関数体 / Riemann surfaces / hypergeometric equations / Neron-Tate height functions / Abelian varieties / Bogomolov conjecture / Teichmueller groupoids / Conformal field theory / アラケロフ幾何 / 超幾何学方程式 / Mapping class group / Galois representation / Uniformization / チャーン・サイモンズ積分 / 写像類群 / Galois action / Automophic form / Soliton equation / Theta function / Period integral / フュージング・ムーヴ / テータ関数 / 周期積分 / Elliptic Curve / Factorizing Algorithm / Unit Group / Ideal Class Group / Quadratic Field / Congruence Relation / Class Number / Cyclotomic Field / RSA暗号 / ヤコビ和 / 楕円曲線 / 素因数分解アルゴリズム / 単数群 / イデアル類群 / 2次体 / 合同式 / ベルヌイ数 / ガウスの和 / ヤコビの和 / 合同関係式 / 2進L関数 / 線形符号の復号法 / 単項式列 / Feng-Raoの設定最小距離 / タイヒミュラー空間 / プリュッカー座標 / d重埋め込み / 生成射影 / チャウ形式 / Singular semilinear / Supersolution-subsolution法 / 準線形方程式系 / 惰円型方程式系 Less

Number Theory and its Development to Discrete MathematicsPrincipal Investigator
- Principal Investigator
  
  NAKAHARA Toru
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Explicit construction of algebraic geometry codes
- Principal Investigator
  
  UEHARA Tsuyoshi
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
New construction of vector bundles on Riemann surfaces and Verlinde's formula
- Principal Investigator
  
  ICHIKAWA Takashi
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Number Theory, Its Application to Discrete Mathematics and DevelopmentPrincipal Investigator
- Principal Investigator
  
  NAKAHARA Toru
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Study on minimal free resolution of Stanley-Reisner rings
- Principal Investigator
  
  TERAI Naoki
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Study on minimal free resolution of Stanley-Reisner rings
- Principal Investigator
  
  TERAI Naoki
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Number Theory and Its Applications to Discrete MathematicsPrincipal Investigator
- Principal Investigator
  
  NAKAHARA Toru
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
VERTEX OPERATOR ALGEBRAS AND MODULI SPACES OF ALGEBRAIC CURVES
- Principal Investigator
  
  ICHIKAWA Takashi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  SAGA UNIVERSITY
Number Theory and Applications to the Related Discrete MathematicsPrincipal Investigator
- Principal Investigator
  
  NAKAHARA Toru
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Minimum distance of error-correcting codes constructed by algebraic function fields
- Principal Investigator
  
  UEHARA Tsuyoshi
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Saga University
Teichmueller groupoids and monodromy in conformal field theory
- Principal Investigator
  
  ICHIKAWA Takashi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Motivic aspect of moduli space of algebraic curves
- Principal Investigator
  
  ICHIKAWA Takashi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Number Theory and Its Apprication to Discrete MathematicsPrincipal Investigator
- Principal Investigator
  
  NAKAHARA Toru
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Moduli space of algebraic curves and automorphic forms
- Principal Investigator
  
  ICHIKAWA Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
代数曲線から生成される誤り訂正符号の研究
- Principal Investigator
  
  上原健
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
無限種数解析曲線とソリトン方程式
- Principal Investigator
  
  市川尚志
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
代数多様体のモヂュライ理論の研究
- Principal Investigator
  
  TANAKA Tatsuji
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
整数論及びその学際領域の研究Principal Investigator
- Principal Investigator
  
  中原徹
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
非線形楕円型偏微分方程式
- Principal Investigator
  
  FURUSHO Yasuhiro
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Saga University
Congruence relations between class numbers of cyclotomic fields
- Principal Investigator
  
  UEHARA Tsuyoshi
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Saga University
整数論Principal Investigator
- Principal Investigator
  
  中原徹
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Saga University
Study of Nonlinear Partial Differential Equations of Elliptic Type
- Principal Investigator
  
  FURUSHO Yasuhiro
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Saga University
円単数およびヤコビの和の研究
- Principal Investigator
  
  上原健
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Saga University

All 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

[Book] 線形代数入門[国内大学生協より頒布]2010
- Author(s)
  中原徹, 片山眞一, 小林孝行, 工藤愛知
- Publisher
  学術図書出版社
- Data Source
  KAKENHI-PROJECT-20540019
[Book] 線形代数入門[大学生協より頒布,市販版は2011年秋に出版予定]2010
- Author(s)
  中原徹, 片山眞一, 小林孝行, 工藤愛知
- Publisher
  学術図書出版社
- Data Source
  KAKENHI-PROJECT-20540019
[Book] 線形代数入門ISBN978-4-7806-0104-62009
- Author(s)
  中原徹, 片山眞一, 小林孝行, 工藤愛知
- Publisher
  学術図書出版社
- Data Source
  KAKENHI-PROJECT-20540019
[Book] 線形代数入門2009
- Author(s)
  中原徹, 片山眞一, 小林孝行, 工藤愛知
- Publisher
  学術図書出版社
- Data Source
  KAKENHI-PROJECT-20540019
[Book] Introduction to Linear Algebra2008
- Author(s)
  T., Nakahara, S. I. A., Shah
- Total Pages
  167
- Publisher
  Gakujyutsu Tosho Shuppansha
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Book] 線形代数入門 (各大学内頒布版)2008
- Author(s)
  中原徹, 片山真一, 小林孝行, 工藤愛知
- Total Pages
  167
- Publisher
  学術図書出版社
- Data Source
  KAKENHI-PROJECT-18540040
[Book] 線形代数入門(国内大学頒布版)2008
- Author(s)
  中原徹, 片山真一, 小林孝行, 工藤愛知
- Total Pages
  167
- Publisher
  学術図書出版社
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Book] Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems2004
- Author(s)
  [BKLN] S.Katayama, C.Levesque, T.Nakahara
- Total Pages
  148
- Publisher
  Furukawa Total Printing Co. LTD, Saga Japan, ix + 139 (March 2004, November 2004(revised edition)),
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Book] Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems2004
- Author(s)
  [BKLN]S.Katayama, C.Levesque, T.Nakahara
- Publisher
  Furukawa Total Printing Co.LTD, Saga Japan (March 2004, November 2004(revised edition))
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Book] Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems2004
- Author(s)
  S.Katayama, C.Levesque, T.Nakahara
- Total Pages
  139
- Publisher
  Furukawa Total Printing Co.LTD
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540036
[Book] Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems2004
- Author(s)
  Shnichi Katayama, Claude Levesque, Toru Nakahara
- Total Pages
  139
- Publisher
  Furukawa Total Printing Co. LTD
- Data Source
  KAKENHI-PROJECT-15540036
[Book] [BKLN] Proceedings of the 2003 Nagoya Conference Yokoi-Chowla Conjecture and Related Problems(revised edition)2004
- Author(s)
  S.-I.Katayama, C.Levesque, T.Nakahara
- Total Pages
  148
- Publisher
  Furukawa Total Printing Co. LTD, Saga Japan, ix + 139 (March 2004, November 2004),
- Data Source
  KAKENHI-PROJECT-16540029
[Book] Proceedings of the 2003 Nagoya Conference, Yokoi-Chowla Conjecture and Related Problems2004
- Author(s)
  Shinnichi Katayama, Claude Levesque, Toru Nakahara
- Total Pages
  139
- Publisher
  Furukawa Total Printing Co.LTD
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540036
[Journal Article] Hasse's Problem for monogenic fields2009
- Author(s)
  T.Nakahara
- Journal Title
  
  Annales Mathema -tiques Blaise Pascal 16
  
  Pages: 47-56
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] On a problem of Hasse2009
- Author(s)
  Y.Motoda, T.Nakahara, S.I.AShah, T.Uehara
- Journal Title
  
  RIMS Kokyuroku Bessatsu B12
  
  Pages: 209-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] On a Problem of Hasse2009
- Author(s)
  Yasuo Motoda, Toru Nakahara, S. I. A. Shah, Tsuyoshi Uehara
- Journal Title
  
  RIMS Kokyuroku Bessatsu, Res. Inst. Math. Sci. (RIMS), Kyoto Univ. (To appear)
  
  Pages: 13-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] Orbit of quadratic irrationals modulo $p$ by the modular group2009
- Author(s)
  T.Nakahara, S.-i.Katayama, S.I.A.Shah, M.N.Khalid, S.Badshah
- Journal Title
  
  Journal of Research Gomal University 25
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] Orbit of quadratic irrationals modulo $p$ by the modular group2009
- Author(s)
  S.-i.Katayama, T.Nakahara, S.I.A.Shah, Mohammad Naeem Khalid, Sareer Badshah
- Journal Title
  
  Journal of Research Gomal University 25
  
  Pages: 1-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] On a problem of Hasse2009
- Author(s)
  Y.Motoda, T.Nakahara, S.I.A.Shah, T.Uehara
- Journal Title
  
  RIMS Kokyuroku Bessatsu B12
  
  Pages: 209-221
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] Hasse's problem for monogenic fields2009
- Author(s)
  Toru Nakahara
- Journal Title
  
  Annales math\' ematiques Blaise Pascal 16-1
  
  Pages: 47-56
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] On integral bases of the octic 2-elementary abelian extension fields2008
- Author(s)
  Kyoung Ho Park, Toru Nakahara, Yasuo Motoda
- Journal Title
  
  Kyushu J. of Mathematics ([LaTeX])
  
  Pages: 12-12
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On power integral bases of the 2-elementary abelian extension fields2006
- Author(s)
  Yasuo, Motoda, Toru, Nakahara, Kyoung Ho, Park
- Journal Title
  
  Trends in Mathematics 9-1
  
  Pages: 55-63
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540038
[Journal Article] On power integral bases of the 2-elementary abelian extension fields2006
- Author(s)
  [MNP] Y.Motoda, T.Nakahara, K.-H.Park
- Journal Title
  
  Proceedings "Trends in Mathematics" of Korea-Japan joint seminar in KAIST 2006 To appear
  
  Pages: 9-9
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] On power integral bases of the 2-elementary abelian extension fields2006
- Author(s)
  Y.Motoda, T.Nakahara, K.H.Park
- Journal Title
  
  Trends in Mathematics 9・1
  
  Pages: 55-63
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On power integral bases of the 2-elementary abelian extension fields2006
- Author(s)
  [MNP] Y.Motoda, T.Nakahara, K.-H.Park
- Journal Title
  
  Proceedings "Trends in Mathematics" of Korea-Japan joint seminar in KAIST 2006 (To appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] On power integral bases of the 2-elementary abelian extension field2006
- Author(s)
  [MNP]Y.Motoda, T.Nakahara, K.-H.Park
- Journal Title
  
  Proceedings "Trends in Mathematics" of Korea-Japan joint seminar in KAIST 2006, (To appear)
  
  Pages: 9-9
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] On integral bases of real octic 2-elementary abelian extensions2006
- Author(s)
  K.H.Park, T.Nakahara, Y.Motoda
- Journal Title
  
  京都大学数理解析研究所講究録「代数的整数論とその周辺」 1521
  
  Pages: 176-184
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On-Integral Bases of Certain Real Octic Abelian Field2005
- Author(s)
  [PMN]K.-H.Park, Y.Motoda, T.Nakahara
- Journal Title
  
  Rep.Sci.Engrg.Saga Univ.Math. 34・1
  
  Pages: 1-15
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] On Integral Bases of Certain Real Octic Abelian Field2005
- Author(s)
  [PMN] K.-H.Park, Y.Motoda, T.Nakahara
- Journal Title
  
  Rep.Sci.Engrg.Saga Univ.Math. 34・1
  
  Pages: 1-15
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] On Integral Bases of Certain Real Octic Abelian Field2005
- Author(s)
  [PMN] K.-H.Park, Y.Motoda, T.Nakahara
- Journal Title
  
  Rep. Sci. Engrg. Saga Univ. Math. 34・1
  
  Pages: 1-15
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Recent progress of Hasse's problem on power integral bases of abelian fields,2004
- Author(s)
  [NSU]T.Nakahara, S.I.A.Shah, T.Uehara
- Journal Title
  
  Proceedings of the Japan-Korea Joint Seminar on Number Theory (Edited by H.K.Kim, Y.Taguchi)
  
  Pages: 131-136
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] [MN1] Monogenesis of Algebraic Number Fields whose Galois Groups are 2-elementary Abelian2004
- Author(s)
  Y.Motoda, T.Nakahara
- Journal Title
  
  Proceedings of the Nagoya Conference Yokoi-Chowla Conjecture and Related Problems Edited by S.Katayama
  
  Pages: 91-99
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] On a family of real bicyclic biquadratic fields2004
- Author(s)
  [KLN]S.Katayama, C.Levesque, T.Nakahara
- Journal Title
  
  Centre de Recherches Mathematiques CRW Proceedings and Lecture Notes 36
  
  Pages: 177-188
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Power integral bases in algebraic number fields whose Galois groups are 2-elementary abelian2004
- Author(s)
  Yasuo Motoda, Toru Nakahara
- Journal Title
  
  Arch.Math. 83
  
  Pages: 309-316
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540036
[Journal Article] [NSU] Recent progress of Hasse's problem on power integral bases of abelian fields,2004
- Author(s)
  T.Nakahara, S.I.A.Shah, T.Uehara
- Journal Title
  
  Proceedings of the Japan-Korea Joint Seminar on Number Theory (Edited by H.K.Kim and Y.Taguchi)
  
  Pages: 131-136
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Monogenesis of Algebraic Number Fields whose Galois Groups are 2-elementary Abelian2004
- Author(s)
  [MN] Y.Motoda, T.Nakahara
- Journal Title
  
  Arch. Math 83
  
  Pages: 309-316
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Recent progress of Hasse's problem on power integral bases of abelian fields,2004
- Author(s)
  [NSU] T.Nakahara, S.I.A.Shah, T.Uehara
- Journal Title
  
  Proceedings of the Japan-Korea Joint Seminar on Number Theory(Edited by H. K. Kim, Y. Taguchi)
  
  Pages: 131-136
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Recent Progress of Hasse's Problem on power integral bases of abelian fields2004
- Author(s)
  中原徹, 上原健他
- Journal Title
  
  Proceedings of Japan-Korea joint seminar on Number Theory
  
  Pages: 131-136
- Data Source
  KAKENHI-PROJECT-16540028
[Journal Article] [MN2] Power integral bases in algebraic number fields whose galois groups are 2-elementary abelian,2004
- Author(s)
  Y.Motoda, T.Nakahara
- Journal Title
  
  Arch.Math 83
  
  Pages: 309-316
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] On a family of real bicyclic biquadratic fields2004
- Author(s)
  [KLN] S.Katayama, C.Levesque, T.Nakahara
- Journal Title
  
  Centre de Recherches Mathematiques CRW Proceedings and Lecture Notes 36
  
  Pages: 177-188
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Monogenesis of Algebraic Number Fields whose Galois Groups are 2-elementary Abelian2004
- Author(s)
  [MN]Y.Motoda, T.Nakahara
- Journal Title
  
  Arch.Math 83
  
  Pages: 309-316
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] [KLN] On a family of real bicyclic biquadratic fields2004
- Author(s)
  S.-I.Katayama, C.Levesque, T.Nakahara
- Journal Title
  
  Centre de Recherches Mathematiques CRW Proceedings and Lecture Notes 36
  
  Pages: 177-187
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Hasse's problem for monogenic fields
- Author(s)
  Toru Nakahara
- Journal Title
  
  Proc. of International Conference ''Algebra, Number Theory and their applications'' Oujda-Saidia Morocco, 2006 (to appear)
- Data Source
  KAKENHI-PROJECT-18540038
[Journal Article] On integral bases of the octic 2-elementary abelian extension fields
- Author(s)
  Kyoung, Ho, Park, Toru, Nakahara, Yasuo, Motoda
- Journal Title
  
  Kyushu J. of Mathematics (to be revised)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] Hasse's problem for monogenic fields
- Author(s)
  T.Nakahara
- Journal Title
  
  Proc. of International Conference'' Algebra, Number Theory and their applications'' Oujda-Saidia Morocco, 2006 (To appear)
  
  Pages: 8-8
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On integral bases of the octic 2-elementary abelian extension fields
- Author(s)
  K.-H.Park, T.Nakahara, Y.Motoda
- Journal Title
  
  Kyushu Journal of Mathematics (to apper)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540038
[Presentation] On certain pure octic fields related to a Problem of Hasse2011
- Author(s)
  中原徹
- Organizer
  Workshop on Number Theory in Saga 2011 Winter
- Place of Presentation
  佐賀大学
- Year and Date
  2011-01-09
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] ハッセの問題に関連する或る純8次体について2011
- Author(s)
  アブドゥルハミード, 中原徹, シャーザッドアハマッド, サイエッドハスネーヌ
- Organizer
  Workshop on Number Theory in Saga 2011 Winter
- Place of Presentation
  佐賀大学
- Year and Date
  2011-01-09
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] On Monogeneity of Certain Pure Sextic Number Fields2010
- Author(s)
  Toru Nakahara
- Organizer
  Workshop on Number Theory in Saga 2010 Summer
- Place of Presentation
  佐賀大学
- Year and Date
  2010-08-13
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Gauss sum and its application to a proof of the reciprocity law of quadratic residues2010
- Author(s)
  T.Nakahara
- Organizer
  1st Peshawar Research Seminar(招待講演)
- Place of Presentation
  NUCES, Peshawar Campus, Pakistan
- Year and Date
  2010-02-12
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Gauss sum and Jacobi sum attached to the sextic character of prime conductor2010
- Author(s)
  T.Nakahara
- Organizer
  Workshop in Number Theory in Saga 2010
- Place of Presentation
  Saga Univ., Japan
- Year and Date
  2010-01-12
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] On Monogeneity of Certain Pure Sextic Number Fields2010
- Author(s)
  S.Ahmad, T.Nakahara, S.Husnine, A.Hameed
- Organizer
  Workshop on Number Theory in Saga 2010 Summer
- Place of Presentation
  Saga University
- Year and Date
  2010-08-13
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Gauss sum and Jacobi sum attached to the sextic character of prime conductor2010
- Author(s)
  中原徹
- Organizer
  Workshop on Number Theory in Saga 2010
- Place of Presentation
  Saga University
- Year and Date
  2010-01-12
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Classification of monogenic cyclic quartic fields of even conductor2009
- Author(s)
  Toru Nakahara
- Organizer
  Workshop on Number Theory in Saga 2009
- Place of Presentation
  佐賀大学
- Year and Date
  2009-01-05
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Monogenic cyclic sextic fields of prime conductor and gauss sum2009
- Author(s)
  中原徹
- Organizer
  Workshop on Number Theory in Saga 2009 Summer
- Place of Presentation
  Saga University
- Year and Date
  2009-08-04
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Classification of monogenic cyclic quartic fields of even conductor2009
- Author(s)
  中原徹
- Organizer
  Workshop on Number Theory in Saga 2009
- Place of Presentation
  Saga University
- Year and Date
  2009-01-05
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Monogenic cyclic sextic fields of prime conductor and Gauss sum2009
- Author(s)
  T.Nakahara
- Organizer
  Workshop in Number Theory in Saga 2009
- Place of Presentation
  Saga Univ., Japan
- Year and Date
  2009-08-04
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Hasse's problem for Integral Power Bases of Abelian Number Fields [招待講演]2009
- Author(s)
  Toru Nakahara
- Organizer
  Special Seminar, Quaid-i-Azam Univ.
- Place of Presentation
  Islamabad, the Islami Republic of Pakistan
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] On a problem of Hasse for cyclic quartic fields[招待講演]2008
- Author(s)
  Toru Nakahara
- Organizer
  Algebra and Number Theory Seminar, National Univ. of Science and Technology
- Place of Presentation
  Islamabad, the Islami Republic of Pakistan
- Year and Date
  2008-11-12
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Orbit of quadratic irrationals modulo p by the modular group2008
- Author(s)
  Toru Nakahara
- Organizer
  8th International Pure Mathematics Conference 2007[招待講演]
- Place of Presentation
  パキスタン・イスラム共和国イスラマバード
- Year and Date
  2008-08-24
- Data Source
  KAKENHI-PROJECT-18540040
[Presentation] Introduction to a problem of Hasse for abelian number fields[招待講演]2008
- Author(s)
  Toru Nakahara
- Organizer
  Workshop/Seminar in Mathematics, National Univ. of Computer and Emerging Sciences[NUCES], Lahore Campus
- Place of Presentation
  Lahore, the Islami Republicof Paki Stan
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] A problem of Hasse and different2008
- Author(s)
  T., Nakahara
- Organizer
  Seminar on Algebra
- Place of Presentation
  Kyushu Univ
- Year and Date
  2008-02-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Presentation] ハッセの問題と共役差積2008
- Author(s)
  中原徹
- Organizer
  九州大学代数学セミナー[招待講演]
- Place of Presentation
  九州大学理学部
- Year and Date
  2008-02-22
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Presentation] ハッセの問題と共役差2008
- Author(s)
  中原徹
- Organizer
  九州大学代数学セミナー [招待講演]
- Place of Presentation
  九州大学理学部
- Year and Date
  2008-02-22
- Data Source
  KAKENHI-PROJECT-18540040
[Presentation] Orbits of irrationals by the modular group in a real quadratic field2007
- Author(s)
  Toru, Nakahara
- Organizer
  The 17th International Conference of Jangjeon Mathematical Society
- Place of Presentation
  Kyungpook National University the Republic of Korea
- Year and Date
  2007-07-08
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540038
[Presentation] Orbit of quadratic irrationals modulo p by the modular group2007
- Author(s)
  Toru Nakahara, Syed, Inayat, Ali, Shah
- Organizer
  8th International Pure Mathematics Conference 2007[招待講演]
- Place of Presentation
  パキスタン・イスラム共和国イスラマバード
- Year and Date
  2007-08-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Presentation] On a Problem of Hasse2007
- Author(s)
  S. I. A., Shah, Y., Motoda, T., Nakahara, T., Uehara
- Organizer
  Algebraic Number Theory and its related Topics(RIMS Kyoto Univ.)
- Place of Presentation
  Kyoto
- Year and Date
  2007-12-13
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Presentation] ハッセの問題について2007
- Author(s)
  元田康夫、中原徹、上原健、シャー・サイエッド・イナヤット・アリ
- Organizer
  研究集会「代数的整数論とその周辺」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-12-13
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540038
[Presentation] Orbit of quadratic irrationals modulo p by the modular group2007
- Author(s)
  T., Nakahara, S. I. A., Shah
- Organizer
  8th International Pure Mathematics Conference 2007
- Place of Presentation
  Islamabad, the Islamic Republic of Pakistan
- Year and Date
  2007-08-24
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Presentation] On Hasse's Problem2007
- Author(s)
  Y., Motoda, T., Nakahara, T., Uehara, S.I.A., Shah
- Organizer
  Symposium on Algebraic Number Theory and its Related Area
- Place of Presentation
  Kyoto Univ
- Year and Date
  2007-12-13
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540038
[Presentation] ハッセの問題について2007
- Author(s)
  元田康夫, 中原徹, 上原健, SHAH, Syed, Inayat, Ali
- Organizer
  研究集会「代数的整数論とその周辺」[招待講演]
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-12-13
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540040

1. UEHARA Tsuyoshi (80093970)

# of Collaborated Projects: 19 results

# of Collaborated Products: 10 results
2. ICHIKAWA Takashi (20201923)

# of Collaborated Projects: 18 results

# of Collaborated Products: 0 results
3. TANAKA Tatsuji (80039370)

# of Collaborated Projects: 11 results

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4. TERAI Naoki (90259862)

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5. MITOMA Itaru (40112289)

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6. KATAYAMA ShinーIchi (70194777)

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7. HIROSE Susumu (10264144)

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8. FURUSHO Yasuhiro (00039281)

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9. OGURA Yukio (00037847)

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10. TAGUCHI Yuuichiro (90231399)

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11. MIYAKE Katsuya (20023632)

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29. CLAUDE Levesque

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NAKAHARA Toru 中原 徹

MORI Toru

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Number Theory and its Development to Discrete MathematicsPrincipal Investigator

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Number Theory, Its Application to Discrete Mathematics and DevelopmentPrincipal Investigator

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Number Theory and Its Applications to Discrete MathematicsPrincipal Investigator

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Number Theory and Applications to the Related Discrete MathematicsPrincipal Investigator

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Number Theory and Its Apprication to Discrete MathematicsPrincipal Investigator

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NAKAHARA Toru 中原徹