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Synthetic research on algebra

Research Project

Project/Area Number 02302002
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionNagoya University

Principal Investigator

KITAOKA Yoshiyuki  Nagoya Univ. Dept. of Math. Professor, 理学部, 教授 (40022686)

Co-Investigator(Kenkyū-buntansha) YAMAMOTO Yoshihiko  Osaka Univ. Dept. of Math. Professor, 理学部, 教授 (90028184)
YOKOI Hideo  Nagoya Univ. Dept. of Math. Professor, 教養部, 教授 (50023560)
SHIRATANI Katsumi  Kyushu Univ. Dept. of Math. Professor, 理学部, 教授 (80037168)
IHARA Yasutaka  Nagoya Univ. Dept. of Math. Professor, 数理解析研究所, 教授 (70011484)
HIJIKATA Hiroaki  Kyoto Univ. Dept. of Math. Professor, 理学部, 教授 (00025298)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥14,300,000 (Direct Cost: ¥14,300,000)
Fiscal Year 1991: ¥6,600,000 (Direct Cost: ¥6,600,000)
Fiscal Year 1990: ¥7,700,000 (Direct Cost: ¥7,700,000)
KeywordsRings / Finite groups / Representation theory / semi-groups / Analytic number theory / Algebraic geometry / Combinatorics / Automorphic forms / 環論 / 有限群 / 多元環 / 表現論 / 半群論 / 解折数論 / 組み合せ数学 / 代数的組み合せ論
Research Abstract

We supported the following symposiums :
Algebraic combinatorics, Representation of algebras, Algebraic geometry and analytic geometry, Zeta functions in geometry, Commutative rings and combinatorics, Diophantus problems, Rings, Automorphic forms and zeta functions, Algebraic number theory, Generating functions now, Symposium on algebras in 1991, Representation of finite groups and algebra, semi-groups, Analytic number theory, Resent results in algebraic number theory, Groups and combinatorics. There were many symposiums in the above for which the number of the attendance were more than 100. It was very successful that so many researchers who did not necessarily work on the same branch came together and discuss the same subject face to face, It was significant that me could support such fruitful meetings.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (25 results)

All Other

All Publications (25 results)

  • [Publications] Yoshiyuki Kitaoka: "A result on q-series and its application to quadratic forms" J.of Number Theory. 34. 54-62 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yoshiyuki Kitaoka: "A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables" Acta Arith,.LIV. 317-322 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yoshiyuki Kitaoka: "A note on Klingen's Eisenstein series" Abh.Math.Sem.Univ.Humburg. 60. 95-114 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Hiroaki Hijikata: "Twists of new forms" J.of Number Theory. 35. 287-324 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Hideo Yokoi: "The fundamental unit and bounds for class numbers of real quadratic fields" Nagoya Math.J.124. 181-197 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Hideo Yokoi: "A note on the class-number of real quadratic fields with prime discriminant" Proc.Japan Acad.67. 308-312 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yoshiyuki Kitaoka: "A result on q-series and its application to quadratic forms" J. of Number Theory. 34. 54-62 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yoshiyuki Kitaoka: "A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables" Acta Arith. LIV. 317-322 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yoshiyuki Kitaoka: "A note on Klingen's Eisenstein series" Abh. Math. Sem. Univ. Humberg. 60. 95-114 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Hiroaki Hijikata: "Twists of new forms" J. of Number Theory. 35. 287-324 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Hideo Yokoi: "The fundamental unit and bounds for class numbers of real quadratic fields" Nagoya Math. J.124. 181-197 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Hideo Yokoi: "A note on the class-number of real quadratic fields with prime discriminat" Proc. Japan Acad.67. 308-312 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Yoshiyuki Kitaoka: "A result on qーseries and its application to quadratic fomrs" J.of Number Theory. 34. 54-62 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] Yoshiyuki Kitaoka: "A note on respresentation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables" Acta Arith.,LIV. 317-322 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] Yoshiyuki Kitaoka: "A note on Klingen's Eisenstein series" Abh.Math.Sem.Univ.Humburg. 60. 95-114 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] Hiroaki Hijikata: "Twists of new foems" J.of Number Theory. 35. 287-324 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] Hideo Yokoi: "The fundamental unit and bounds for class numbers of real quadratic fields" Nagoya Math.H,. 124. 181-197 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Hideo Yokoi: "A note on the classーnumber of real quadratic fields with prime discriminat" Proc.Japan Acad.67. 308-312 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 土方 弘明: "Twists of New forms" Journal of Number Theory. 35. 287-324 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 北岡 良之: "A result on qーseries and its application to quadratic forms" J.of Number Theory. 34. 54-62 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 北岡 良之: "A note on representation of positive definite binary quadratic forms by positive definite quadratic forms in 6 variables" Acta Arith.LIV. 317-322 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 北岡 良之: "A note oーKlingen's Eisenstein series" Abh.Math.Sem.Univ.Hamburg. 60. 95-114 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 北岡 良之: "Integral theory of quadratic forms" Cambridge University Press.

    • Related Report
      1990 Annual Research Report
  • [Publications] 横井 英夫: "The fundamental unit and bounds for class number of real quadratic fields" 名古屋大学教養部数学教室プレプリントシリ-ズ. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 白谷 克巳: "代数学入門" 森北出版, 190 (1991)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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