算术教程

版次：1
页数：
字数：
印刷时间：2009年08月01日
开本：24开
纸张：胶版纸
包装：平装
是否套装：否
国际标准书号ISBN：9787510005350
作者:（法）赛瑞著出版社:世界图书出版公司出版时间:2009年08月

目　　录

Preface
Part I-Algebraic Methods
ChapterI Finite fields
1-Generalities
2-Equations over a finite field
3-Quadratic reciprocity law
Appendix-Another proof of the quadratic reciprocity law
Chapter II p-adic fields
1-The ring Zp and the field
2-p-adic equations
3-The multiplicative group of
Chapter II nHilbert symbol
1-Local properties
2-Global properties

Preface Part I-Algebraic Methods ChapterI Finite fields 1-Generalities 2-Equations over a finite field 3-Quadratic reciprocity law Appendix-Another proof of the quadratic reciprocity law Chapter II p-adic fields 1-The ring Zp and the field 2-p-adic equations 3-The multiplicative group of Chapter II nHilbert symbol 1-Local properties 2-Global properties Chapter IV Quadratic forms over Qp and over Q 1-Quadratic forms 2-Quadratic forms over Q 3-Quadratic forms over Q Appendix Sums of three squares Chapter V Integral quadratic forms with discriminant 1-Preliminaries 2-Statement of results 3-Proofs Part II-Analytic Methods Chapter VI-The theorem on arithmetic progressions 1-Characters of finite abelian groups 2-Dirichlet series 3-Zeta function and L functions 4-Density and Dirichlet theorem Chapter Vll-Modular forms 1-The modular group 2-Modular functions 3-The space of modular forms 4-Expansions at infinity 5-Hecke operators 6-Theta functions Bibliography Index of Definitions Index of Notations

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