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1991 Fiscal Year Final Research Report Summary

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
KeywordsRings / Finite groups / Representation theory / semi-groups / Analytic number theory / Algebraic geometry / Combinatorics / Automorphic forms
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.

  • Research Products

    (12 results)

All Other

All Publications (12 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1993-03-16  

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