Synthetic research on algebra

代数综合研究

• 批准号: 02302002
• 负责人: KITAOKA Yoshiyuki
• 金额: $ 9.15万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1990
• 资助国家: 日本
• 起止时间: 1990 至 1991
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02302002/
• 关键词: Rings; 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

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.

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有限群和代数，半组，分析数理论，怨恨导致代数数理论，组和组合学。上面有许多专题讨论会，出席人数超过100。非常成功的是，如此多的研究人员不一定在同一分支机构工作，并面对面讨论同一主题，这很重要，我可以支持这样的富有成果的会议。

项目成果

Hideo Yokoi: "The fundamental unit and bounds for class numbers of real quadratic fields" Nagoya Math.J.124. 181-197 (1991)

横井秀夫：“实二次域的类数的基本单位和界限”Nagoya Math.J.124。

Yoshiyuki Kitaoka: "A note on Klingen's Eisenstein series" Abh. Math. Sem. Univ. Humberg. 60. 95-114 (1990)

Yoshiyuki Kitaoka：“关于克林根爱森斯坦系列的注释”Abh。

Hiroaki Hijikata: "Twists of new forms" J.of Number Theory. 35. 287-324 (1990)

Hiroaki Hijikata：“新形式的扭曲”J.of Number Theory。

北岡 良之: "A note oーKlingen's Eisenstein series" Abh.Math.Sem.Univ.Hamburg. 60. 95-114 (1990)

Yoshiyuki Kitaoka：“克林根爱森斯坦系列的注释”Abh.Math.Sem.Univ.Hamburg 60. 95-114 (1990)。

北岡 良之: "Integral theory of quadratic forms" Cambridge University Press.

Yoshiyuki Kitaoka：“二次型积分理论”剑桥大学出版社。