katayama shinichi 片山真一

… Alternative Names

Researcher Number	70194777
Other IDs
Affiliation (Current)	2022: 徳島大学, 大学院社会産業理工学研究部(理工学域), 教授
Affiliation (based on the past Project Information) *help	2002 – 2010: 徳島大学, 総合科学部, 教授 1999 – 2000: 徳島大学, 総合科学部, 助教授 1995: 徳島大学, 総合科学部, 助教授 1993: 徳島大学, 総合科学部, 助教授 1991 – 1992: 徳島大学, 教養部, 助教授
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra / Algebra / 解析学 / Geometry
Keywords	Principal Investigator 類数 / Gorenstein homogenous ideal / self-dual code / 双線形形式の格子 / 1次元線形系 / ABC予想 / 単数群 / 類群 / 連立ペル方程式 / 単数 … More Except Principal Investigator 基本単数 / Hasseの問題 / 代数幾何符号 / タイヒミュラー基本亜群 / エルミート符号 / Hasse's Problem / 完全積分可能系 / Stanley-Reisner環 / 類数 / 巾底 / 最小距離 / Mordell Curve / 楕円曲線 / 整数環の巾底 / Mordell曲線 / Galois representation / Hermitian code / ソリトン / 超関数 / 局所凸空間 / スペクトル幾何 / 等スペクトル変型 / 実2次体 / ベクトル値佐藤超函数 / ベクトル値Fourier超函数 / 共形的平坦なFinsler講造 / 1次元Schrodingen作用素 / Λ作用素 / Hamilton系の等スペクトル変形 / 実2次体の類数 / Hilbert級数 / Poincare級数 / Gorenstein列 / 極小分解 / Minimal Resolution Conj. / ラプラシアン / ハミルトン力学系 / ダルブー変換 / フィンスラー幾何学 / 佐藤超関数 / 体の巡回拡大 / 代数的整数論 / 純6次体 / 頂切離散付値環 / Buchsbaum多様体 / モノミアルイデアル / 一点型代数幾何符号 / symplectic group / 分割関数 / モノミアルイデアル / 実二次体 / Bughsbaum多様体 / Cohen-Macaulay性 / Serreの保型性予想 / ガロア表現 / 射影多様体 / mod p表現 / 頂切離散附値環 / 不分岐巡回拡大 / 一般相互法則 / ガロアの逆問題 / タイヒムーラー基本亜群 / チャウ形式 / 相互法則 / タイムヒーラー基本亜群 / fundamental unit / class number / power basis / unramified cyclic extension / Teichmuller groupoid / explicit reciprocity law / algebraic-geometric code / minimum distance / 整数還の巾底 / ネロン・テイト高さ / 類群及び単数群の構造 / Yokoi-Chowla予想 / 3次体 / Mordell Curves / 代数曲線 / タイヒミューラー基本亜群 / 基本単数系と類数 / p進表現 / Power Intetral basis / Fundamental Unit / Teichmueller grounoid / Neron-Tate Height / Elliptic Curve / Algebraic Geometry Code / アーベル拡大の整数環 / フェアリンデの公式 / Galois表現 / ポリアーベル拡大の整数環 / RSA署名 / 連立ベル方程式 / チャウ多様体 / Buchsbaum Stanley-Reisner ring / The ring of an abelian extension / Integral power basis / Class number / Elliptic curve / Verlinde's formula / 特殊線形群 / 整数基 / p-1次巡回拡大 / 保型形式 / Siegel 保型形式 / ハッセの問題 / 不定方程式 / 超幾何微分方程式 / 保型形式のフーリエ係数 / LDPC符号 / 超グラフ / Integral basis / Cyclic extension of degree p-1 / Modular forms / Trace-norm code / Stanley-Reisner ring Less

Number Theory and its Development to Discrete Mathematics
- 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
Number Theory, Its Application to Discrete Mathematics and Development
- 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
Number Theory and Its Applications to Discrete Mathematics
- 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
ABC Conjecture and the Structure of Algebraic Number FieldsPrincipal Investigator
- Principal Investigator
  
  KATAYAMA Shin-ichi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Number Theory and Applications to the Related Discrete Mathematics
- 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
Number Theory and Its Apprication to Discrete Mathematics
- 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
類数問題とHomology代数的構造の研究Principal Investigator
- Principal Investigator
  
  片山真一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
可換環のホモロジー代数的性質の研究
- Principal Investigator
  
  奥山廣
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
シンプレクティック構造と数理物理学の研究
- Principal Investigator
  
  桑原類史
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokushima
超函数と数理物理学の研究
- Principal Investigator
  
  伊東由文
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokushima
数理物理学とスペクトル理論の研究
- Principal Investigator
  
  大宮真弓
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokushima

All 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002

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] 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)
  Shin-ichi Katayama(ED.)
- Total Pages
  154
- Publisher
  Furukawa Total Printing
- Data Source
  KAKENHI-PROJECT-14540030
[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 Nagoya Conference, Yokoi-Chowla Conjecture and Related Problems2004
- Author(s)
  Shin-ichi Katayama (Ed.)
- Total Pages
  154
- Publisher
  Furukawa Total Printing
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540030
[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
[Journal Article] On partitions and k-Polygons2011
- Author(s)
  T.Doi, S.-i.Katayama
- Journal Title
  
  J. of Mathematics, The University of Tokushima 44
- NAID
  110007870530
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] On partitions and k-Polygons2010
- Author(s)
  Takuya Doi, Shin-ichi Katayama
- Journal Title
  
  J.of Mathematics, The University of Tokushima
  
  Volume: 44 Pages: 13-25
- NAID
  110007870530
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] A variation of Takagi's proof for quadratic reciprocity laws for Jacobi symbols2009
- Author(s)
  S.-i.Katayama
- Journal Title
  
  Journal of Mathematics, The University of Tokushima 43
  
  Pages: 9-23
- NAID
  110007492238
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] A variation of Takagi's proof for quadratic reciprocity laws of Jacobi Symbols2009
- Author(s)
  A.Kuroki, S.-i.Katayama
- Journal Title
  
  Journal of Mathematics The University of Tokushima 43
  
  Pages: 1-7
- 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] A remark on partitions and triangles2009
- Author(s)
  T.Doi, S.-i.Katayama
- Journal Title
  
  Journal of Mathematics The University of Tokushima 43
  
  Pages: 1-7
- NAID
  110007492212
- 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] Some infinite series of Fibonacci numbers2008
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Journal of Mathematics, The University of Tokushima 42
  
  Pages: 9-12
- NAID
  110007127173
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] Some infinite series of Fibonacci numbers, ournal of Mathematics2008
- Author(s)
  S.-i.Katayama
- Journal Title
  
  The University of Tokushima 43
  
  Pages: 912-912
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] On some formula for {\pi}/22008
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Journal of Mathematics, The University of Tokushima 42
  
  Pages: 13-17
- Data Source
  KAKENHI-PROJECT-20540019
[Journal Article] Infinite family of imaginary cyclic fields of degree p-1, with the p-rank of the ideal class groups of at least two2007
- Author(s)
  Shin-ichi, Katayama, Y., Kishi
- Journal Title
  
  Singhua Science and Technology 12
  
  Pages: 475-478
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] Infinite family of imaginary cyclic fields of degree p-1,with the p-rank of the ideal class groups of at least two2007
- Author(s)
  Shin-ichi Katayama, Y. Kishi
- Journal Title
  
  Singhua Science and Technology 12
  
  Pages: 475-478
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] Infinite family of imaginary cyclic fields of degree p-1, with the p-rank of the ideal class groups of at least two2007
- Author(s)
  S.-i.Katayama and Y. Kishi
- Journal Title
  
  singhua Science and Technology 12
  
  Pages: 475-478
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On finte simple groups of cube order2007
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Journal of Mathematics, the Univ.of Tokushima 41
  
  Pages: 25-31
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On finite simple groups of cube order2007
- Author(s)
  Shin-ichi, Katayama
- Journal Title
  
  Journal of Mathematics(the Univ. of Tokushima) 41
  
  Pages: 25-31
- NAID
  110006853379
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On finite simple groups of cube order2007
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Journal of Mathematics, the Univ.of Tokushima 41
  
  Pages: 25-31
- NAID
  110006853379
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] On the diophantine equation $(x^2+1)(y^2+1)=((z^2+1)^2$2006
- Author(s)
  S.-i.Katayama
- Journal Title
  
  Journal of mathematics, The University of Tokushima 40
  
  Pages: 9-14
- NAID
  110004849832
- Data Source
  KAKENHI-PROJECT-18540040
[Journal Article] Maps $R : Z/nZ longrightarrow Z/n^2Z$ and some cyptographic applications2005
- Author(s)
  [YK]H.Yasui, S.-i.Katayama
- Journal Title
  
  J.of Mathematics, Univ.Tokushima 39
  
  Pages: 7-21
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Maps $R : Z/nZ ＼longrightarrow Z/n^2Z$ andsome aryptographic applications2005
- Author(s)
  H.Yasui, S.i.Katayama
- Journal Title
  
  J.of Mathematics, Univ.Tokushima 39
  
  Pages: 7-21
- Data Source
  KAKENHI-PROJECT-16540029
[Journal Article] Maps $R : Z/nZ longrightarrow Z/n^2Z$ and some cyptographic applications2005
- Author(s)
  [YK] H.Yasui, S.i.Katayama
- Journal Title
  
  J. of Mathematics, Univ. Tokushima 39
  
  Pages: 7-21
- Description
  「研究成果報告書概要(和文)」より
- 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] On a family of real bicyclic biquadratic fields2004
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  CRM Proceedings and Lecture Notes 36
  
  Pages: 177-187
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540030
[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] On a family of real bicyclic biquadratric fields2004
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  CRM Proceedings and Lecture Notes 36
  
  Pages: 177-187
- Data Source
  KAKENHI-PROJECT-14540030
[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] On a family of real bicylic biquadratic fields2004
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  CRM Proceedings and Lecture Notes 36
  
  Pages: 177-187
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540030
[Journal Article] On simultaneous diophantine equations2003
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Acta Arithmetica 108. no4
  
  Pages: 369-377
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540030
[Journal Article] On simultaneous diophantine equations2003
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Acta Arithmetica 108
  
  Pages: 369-377
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540030
[Journal Article] On zeta functions associated to finite groups2002
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Advanced Studies in Contemp.Math. 4
  
  Pages: 111-125
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540030
[Journal Article] On zeta functions associated to finite groups2002
- Author(s)
  Shin-ichi Katayama
- Journal Title
  
  Advanced Studies in Contemporary Mathematics 4. no2
  
  Pages: 111-125
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540030
[Presentation] べき乗位数をもつ有限単純群について2011
- Author(s)
  片山眞一
- Organizer
  Workshop on Number Theory in Saga 2011 Winter(招待講演)
- Place of Presentation
  佐賀大学
- Year and Date
  2011-01-08
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] On finite simple groups of power order2011
- Author(s)
  Shin-ichi Katayama
- Organizer
  Workshop on Number Theory in Saga 2011 Winter
- Place of Presentation
  佐賀大学(招待講演)
- Year and Date
  2011-01-08
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] RDタイプの実2次体のある種の分布と類数問題2010
- Author(s)
  S.-i.Katayama
- Organizer
  Number Theory in Saga 2010(招待講演)
- Place of Presentation
  Saga Univ., Japan
- Year and Date
  2010-01-11
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Class number problems of quadratic fields2009
- Author(s)
  S.-i.Katayama
- Organizer
  第8回北陸数論研究集会(ガロア理論とその周辺と共催)金沢2009(招待講演)
- Place of Presentation
  金沢大学
- Year and Date
  2009-12-26
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] Two topics on Gauss's half system2009
- Author(s)
  Shin-ichi Katayama
- Organizer
  Workshop on Number Theory in Saga 2009
- Place of Presentation
  佐賀大学
- Year and Date
  2009-01-06
- Data Source
  KAKENHI-PROJECT-20540019
[Presentation] RDタイプの実2次体のある種の分布について[招待講演]2008
- Author(s)
  片山眞一
- Organizer
  ガロア理論とその周辺徳島2008
- Place of Presentation
  徳島大学
- Year and Date
  2008-09-10
- Data Source
  KAKENHI-PROJECT-20540019

1. NAKAHARA Toru (50039278)

# of Collaborated Projects: 5 results

# of Collaborated Products: 14 results
2. UEHARA Tsuyoshi (80093970)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. TAGUCHI Yuuichiro (90231399)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. ICHIKAWA Takashi (20201923)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. MIYAKE Katsuya (20023632)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. 大宮真弓 (50035698)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. 桑原類史 (90127077)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. 伊東由文 (30035688)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. TERAI Naoki (90259862)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 一條義博 (20035679)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 奥山廣 (80035310)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 高田一郎 (20231392)

# of Collaborated Projects: 2 results

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13. MIYAZAKI Chikashi (90229831)

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14. KATO Kazuya (90111450)

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15. YOKOI Hideo (50023560)

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16. 大渕朗 (10211111)

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17. 田中達治 (80039370)

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18. CLAUDE Levesque

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19. KIM HyunKuang

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20. SYED Inayat Ali Shah

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katayama shinichi 片山 真一

KATAYAMA ShinーIchi 片山 眞一

KATAYAMA Shin-ichi 片山 真一

片山 真一 カタヤマ シンイチ

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ABC Conjecture and the Structure of Algebraic Number FieldsPrincipal Investigator

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類数問題とHomology代数的構造の研究Principal Investigator

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[Book] 線形代数入門[国内大学生協より頒布]2010

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[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

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[Book] 線形代数入門ISBN978-4-7806-0104-62009

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[Book] 線形代数入門2009

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katayama shinichi 片山真一

KATAYAMA ShinーIchi 片山眞一

KATAYAMA Shin-ichi 片山真一

片山真一カタヤマシンイチ