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Research on special values on L-functions of automorphic forms

Research Project

Project/Area Number 17540003
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionMuroran Institute of Technology

Principal Investigator

KATSURADA Hidenori  Muroran Institute of Technology, 室蘭工業大学・工学部, Professor (80133792)

Co-Investigator(Kenkyū-buntansha) TAKEGAHARA Yugen  Muroran Institute of Technology, 工学部, Professor (10211351)
HASEGAWA Yuji  Muroran Institute of Technology, 工学部, Associate Professor (30287982)
CHIGIRA Naoki  Muroran Institute of Technology, 工学部, Associate Professor (40292073)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,800,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsStandard zeta function / Ikeda lift / Congruenc of Siegel modular forms / Fourier-Jacobi coefficient / Rankin-elberg zeta function / Bloch-Kato conjecture / Harder's conjeture / Ikeda' conjecture / スタンダードL関数の中心でのnon-vanishing_ / スタンダードL関数の中心点でのnon-vanishing / ケッヒャー・マース級数 / Doi-Hida-Ishii予想 / Block-Kato予想
Research Abstract

(1) We gave an explicit formula for a certain Dirichlet series of Rankin-Selberg type associated with the Fourier-Jacobi coefficients of the Ikeda lifting. (Joint work with. Kawamura (Hokkaido Univ.))
(2) By using (1), we rewrote a conjecture concerning the period of the Ikeda lift proposed by T Ikeda in terms of the period of a certain half-integral weight Siegel modular forms. As a result we proved Ikeda's conjecture. (Joint work with. Kawamura (Hokkaido Univ.))
(3) We proposed a conjecture, which related the congruence between the Ikeda lift of an elliptic modular from f and non-Ikeda lift with the special values of L-functions of f. By using (2) we proved our conjecture.
(4) We gave a talk about (1), (2) and (3), for examples, on the following meetings ^*RI MS conference (2007,1.16), ^*The 52th Algebra Symposium (2007,8.7), ^*Special lecture at the annual meetings of M. S. J (2008,3.24)
(5) We gave an exact values of the standard L-function of a certain vector valued Siegel modular forms, which is related with Harder's conjecture. (Joint work with T. Ibukiyama (Osaka Unuv.).
(6) We investigate the non-vanishing of the central critical values of standard L-function of Siegel modular forms of degree 2 (Joint work with K. Matsumoto (Nagoya Univ.) and M. Chida (Tohoku Univ.))

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (64 results)

All 2008 2007 2006 2005 Other

All Journal Article (40 results) (of which Peer Reviewed: 13 results) Presentation (20 results) Book (4 results)

  • [Journal Article] Congruence of Siegel modular forms and special values of their standard zeta functions2008

    • Author(s)
      H. Katsurada
    • Journal Title

      Math. Z. 259

      Pages: 97-111

    • NAID

      120001424245

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] ジーゲル保型形式の周期と合同2008

    • Author(s)
      桂田英典
    • Journal Title

      第52回代数学シンポジウム報告集

      Pages: 112-128

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Congruence of Siegel modular forms and special values of their standard zeta functions2008

    • Author(s)
      H. Katsurada
    • Journal Title

      Math. Z 259

      Pages: 97-111

    • NAID

      120001424245

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Period and congruence of Siegel modular forms and related topics2008

    • Author(s)
      H. Katsurada
    • Journal Title

      Proc of the 52-th Algebra Symposium

      Pages: 112-128

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Congruence of Siegel modular forms and special values of their standard zeta functions,2008

    • Author(s)
      H. Katsurada,
    • Journal Title

      Math. Z. 259

      Pages: 97-111

    • NAID

      120001424245

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting2008

    • Author(s)
      H. Katsurada
    • Journal Title

      J. N. T. 128

      Pages: 2025-2052

    • NAID

      120001040303

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On Ikeda's conjecture on the period of the Ikeda lift and its application2008

    • Author(s)
      H. Katsurada
    • Journal Title

      RIMS Kokyuroku Bessatsu (To appear)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ジーゲル保型形式の周期と合同2008

    • Author(s)
      桂田英典
    • Journal Title

      第52回代数学シンポジウム報告集 (To appear)

      Pages: 112-128

    • Related Report
      2007 Annual Research Report
  • [Journal Article] On Wohlfahrt series and wreath products2007

    • Author(s)
      Y. Takegahara
    • Journal Title

      Adv. Math. 209

      Pages: 526-546

    • NAID

      120000801978

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Some self-dual codes invariant under the Hall-Janko group2007

    • Author(s)
      Naoki Chigira
    • Journal Title

      J. Algebra 316

      Pages: 578-590

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Nilpotent groups and character tables2007

    • Author(s)
      竹ヶ原 裕元
    • Journal Title

      数理解析研究所考究録 1564

      Pages: 17-22

    • NAID

      110006313706

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Journal Article] Ikeda's conjecture on the Petersson product of the Ikeda lift2007

    • Author(s)
      H. Katsurada
    • Journal Title

      Proc. of the 9-th Autumn Workshop on Number Theory

      Pages: 97-118

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On Wohlfahrt series and wreath products2007

    • Author(s)
      Y. Takegahara
    • Journal Title

      Adv. Math 209

      Pages: 526-546

    • NAID

      120000801978

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Nilpotent group and character table2007

    • Author(s)
      Y. Takegahara
    • Journal Title

      Proc. RIMS 1564

      Pages: 17-22

    • NAID

      110006313706

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Some self-dual codes invariant under the Hall-Janko group2007

    • Author(s)
      Naoki Chigira, Masaaki Harada and Masaaki Kitazume
    • Journal Title

      J. Algebra 316

      Pages: 578-590

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Permutation groups and binary self-orthogonal codes2007

    • Author(s)
      Naoki Chigira, Masaaki Harada and Masaaki Kitazume
    • Journal Title

      J. Algebra 309

      Pages: 610-621

    • NAID

      120000801998

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Extremal self-dual codes of length 64 throug and covering radii2007

    • Author(s)
      Naoki Chigira, Masaaki Harada and Masaaki Kitazume
    • Journal Title

      Designs, Codes and Cryptography 42

      Pages: 93-101

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On Wohlfahrt series and wreath products,2007

    • Author(s)
      Y.Takegahara
    • Journal Title

      Adv. Math. (2007), 526-546. 209

      Pages: 526-546

    • NAID

      120000801978

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Genus theta series, Hecke operators and the basis problem for Eisenstein series2006

    • Author(s)
      H. Katsurada
    • Journal Title

      Automorphic Forms And Zeta Functions

      Pages: 234-261

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Koecher-Maass series for real analytic Siegel Eisenstein series2006

    • Author(s)
      T. Ibukiyama
    • Journal Title

      Automorphic Forms And Zeta Functions 74

      Pages: 170-197

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Congruence of Siegel modular forms and the special values of their standard zeta fucntions2006

    • Author(s)
      H. Katsurada
    • Journal Title

      Proc. of the 8 th Workshop on Number Theorey

      Pages: 47-59

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Genus theta series, Hecke operators and the basis problem for Eisenstein series2006

    • Author(s)
      H. Katsurada and R. Schluze-Pillot
    • Journal Title

      Automorphic Forms And Zeta Functions, World Scientific

      Pages: 234-261

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Koecher-Maass series for real analytic Siegel Eisenstein series2006

    • Author(s)
      T. Ibukiyama and H. Katsurada
    • Journal Title

      Automorphic Forms And Zeta Functions, World Scientific

      Pages: 170-197

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Congruence of Siegel modular forms and special values of their zeta functions2006

    • Author(s)
      H. Katsurada
    • Journal Title

      Proc. of the 8-th Workshop on Number Theory

      Pages: 47-59

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On self-dual codes of length 64 with primitive automorphism groups2006

    • Author(s)
      Naoki Chigira, Masaaki Harada and Masaaki Kitazume
    • Journal Title

      Proc. RIMS 1476

      Pages: 88-95

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Trigonal quotients of modular curves Xo (N)2006

    • Author(s)
      Y. Hasegawa and M Shimura
    • Journal Title

      Proc. Japan Acad 82

      Pages: 15-17

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting2006

    • Author(s)
      H.Katsurada
    • Journal Title

      Preprint Series (Hokkaido Univ.) 806

      Pages: 1-25

    • NAID

      120001040303

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Genus theta series, Hecke operators and the basis problem for Eisenstein series,2006

    • Author(s)
      H.Katsurada
    • Journal Title

      Automorphic Forms And Zeta Functions

      Pages: 234-261

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Koecher -Maass series for real analytic Siegel Eisenstein series,2006

    • Author(s)
      T.Ibukiyama
    • Journal Title

      Automorphic Forms And Zeta Functions 74

      Pages: 170-197

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Special values of the standard zeta functions for elliptic modular forms2005

    • Author(s)
      H.. Katsurada
    • Journal Title

      Experiment. Math. 14

      Pages: 27-45

    • NAID

      120006459345

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Special values of the standard zeta functions of Siegel modular forms2005

    • Author(s)
      H. Katsurada
    • Journal Title

      Proc. of the 7-th Workshop on Number Theory

      Pages: 109-139

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Special values of the standard zeta functions for elliptic modular forms2005

    • Author(s)
      H. Katsurada
    • Journal Title

      Experiment. Math 14

      Pages: 27-45

    • NAID

      120006459345

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Some self-dual codes invariant under the Hall-Janko group2005

    • Author(s)
      Naoki Chigira, Masaaki Harada and Masaaki Kitazume
    • Journal Title

      Proc. RIMS 1440

      Pages: 5-12

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Special values of the standard zeta functions for elliptic modular forms,2005

    • Author(s)
      H.Katsurada
    • Journal Title

      Experiment.Math. 14

      Pages: 27-45

    • NAID

      120006459345

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Congruence of Siegel modular forms and the special values of their standard zeta fucntions2005

    • Author(s)
      H.Katsurada
    • Journal Title

      Hokkaido Univ.Preprint Series 718

      Pages: 1-30

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting

    • Author(s)
      H. Katsurada
    • Journal Title

      J. N. T. (To appear)

    • NAID

      120001040303

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On the basis problem for Siegel modular forms with level

    • Author(s)
      S. Boecherer
    • Journal Title

      Modular Forms on Schiermonnikoog (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On Ikeda's conjecture on the period of the Ikeda lift and its application

    • Author(s)
      H. Katsurada
    • Journal Title

      RIMS Kokyuroku Bessatsu (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Ikeda's conjecture on the Petersson product of the Ikeda lift

    • Author(s)
      H. Katsurada and H. Kawamura
    • Journal Title

      Proc of 9-th Autumn Workshop on Number Theory

      Pages: 97-118

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On the basis problem for Siegel modular forms with level,

    • Author(s)
      S. Boecherer
    • Journal Title

      Modular Forms on Schiermonnikoog (To appear)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Siegel保型形式の周期と合同および関連する話題2008

    • Author(s)
      桂田英典
    • Organizer
      日本数学会代数学分科会特別講演
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-24
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Period and congruence of Siegel modularf forms and related topics2008

    • Author(s)
      H. Katsurada
    • Organizer
      Special lecture at the annual meetings of M.S.J.
    • Place of Presentation
      Kinki Univ.
    • Year and Date
      2008-03-24
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] A proof of Ikeda's conjecture on the period of the Ikeda lift (Joint work with H. Kawamura)2008

    • Author(s)
      H. Katsurada
    • Organizer
      Seminar on Number Theory
    • Place of Presentation
      Osaka Univ.
    • Year and Date
      2008-01-18
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Periods of modular forms and special values of their L-functions2008

    • Author(s)
      H. Katsurada
    • Organizer
      French Japanese Winter School on Zeta and L functions
    • Place of Presentation
      Kanagawa
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Siegel series and irs related topics2007

    • Author(s)
      H. Katsurada
    • Organizer
      Conference on Fourier expansion of automorphic forms
    • Place of Presentation
      Univ. of. Tokkyo
    • Year and Date
      2007-12-26
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 群上のある2変数方程式による群の特徴付け2007

    • Author(s)
      千吉良直紀
    • Organizer
      RIMS研究集会「有限群論と代数的組み合わせ論」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-12-17
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 群上のある2変数方程式による群の特徴付け2007

    • Author(s)
      千吉良直紀
    • Organizer
      RIMS研究集会「有限群論と代数的組み合わせ論」
    • Place of Presentation
      京都大学数理解析研究所1
    • Year and Date
      2007-12-17
    • Related Report
      2007 Annual Research Report
  • [Presentation] Period and congruence of the Ikeda lift2007

    • Author(s)
      H. Katsurada
    • Organizer
      Conference on Modular Forms
    • Place of Presentation
      Oberwolfach
    • Year and Date
      2007-11-01
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] ジーゲル保型形式の周期と合同2007

    • Author(s)
      桂田英典
    • Organizer
      第52回代数学シンポジウム
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-08-07
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Period and Congruence of Siegel Modular forms2007

    • Author(s)
      H. Katsurada
    • Organizer
      The 52th Algebra Symposium
    • Place of Presentation
      Kobe Univ.
    • Year and Date
      2007-08-07
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 群上の方程式の解の個数に関する母関数について2007

    • Author(s)
      千吉良直紀
    • Organizer
      第24回代数的組み合わせ論研究集会
    • Place of Presentation
      近畿大学
    • Year and Date
      2007-06-28
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] On Ikeda's conjecture on the period of the Ikeda lift (Joint work with H. Kawamura)2007

    • Author(s)
      H. Katsurada
    • Organizer
      Conference on Jacobi Forms and Applications
    • Place of Presentation
      Luminy
    • Year and Date
      2007-05-07
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] On Ikeda's conjecture on the period of the Ikeda lift(Joint work with H. Kawamura)2007

    • Author(s)
      H. Katsurada
    • Organizer
      Conference on Jacobi Forms and Applications
    • Place of Presentation
      Luminy
    • Year and Date
      2007-05-07
    • Related Report
      2007 Annual Research Report
  • [Presentation] 1. Rankin-Selberg convolution product of the Ibukiyama correspondence of the Ikeda lift 2. Ikeda's conjecture on the period of the Ikeda lift2007

    • Author(s)
      H. Katsurada and H. Kawamura
    • Organizer
      Annual meetings of M.J.S.
    • Place of Presentation
      Saitama, Univ.
    • Year and Date
      2007-03-30
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Ikeda's conjecture on the period of the Ikeda lift and its application2007

    • Author(s)
      H. Katsurada and H. Kawamura
    • Organizer
      RIMS conference
    • Place of Presentation
      RIMS
    • Year and Date
      2007-01-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Doi-Naganuma lift and topics relate topics2007

    • Author(s)
      H. Katsuradan
    • Organizer
      Summer School on Number Theory
    • Place of Presentation
      Kanazawa
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Ikeda's conjecture on the Petersson product of the Ikeda lift2006

    • Author(s)
      H. Katsurada and H. Kawamura
    • Organizer
      The 9-th Autumn Workshop on Number Theory
    • Place of Presentation
      Hakuba
    • Year and Date
      2006-11-07
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] An explicit formula for the Dirichlet series of Rankin-seloberg type associated with the Ikeda lift2006

    • Author(s)
      H. Katsurada and H. Kawamura
    • Organizer
      Annual meetings of M.J.S.
    • Place of Presentation
      Osaka City Univ.
    • Year and Date
      2006-09-22
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] L-functions and modular forms2006

    • Author(s)
      H. Katsurada
    • Organizer
      Summer School on Number Theory
    • Place of Presentation
      Hookaido Univ.
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Congruence of Siegel modular forms and special values of their zeta functions2005

    • Author(s)
      H. Katsurada
    • Organizer
      The 8-th Workshop on Number Theory
    • Place of Presentation
      Hakuba
    • Year and Date
      2005-09-28
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] Ikeda's conjecture on the period of the Ikeda lift and its application

    • Author(s)
      H. Katsurada and H. Kawamura
    • Publisher
      RIMS Kokyuroku Bessatsu (To appear)
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] On the basis problem of Siegel modualar forms with level

    • Author(s)
      S. Boecherer, H. Katsurada and R. Schluze-Pillot
    • Publisher
      Modular Forms on Schiermonnikook (To appear)
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting

    • Author(s)
      H. Katsurada and H. Kawamura
    • Publisher
      Jounal of Number Theory. (To appear)
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] Character theoretical aspects of nilpotency class

    • Author(s)
      Y. Takegahara and T. Yoshida
    • Publisher
      Comm. Algebra (To appear)
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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