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自守形式与L-函数 英文版2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

自守形式与L-函数 英文版
  • 刘建亚主编 著
  • 出版社： 北京：高等教育出版社
  • ISBN：7030331687
  • 出版时间：2014
  • 标注页数：205页
  • 文件大小：28MB
  • 文件页数：218页
  • 主题词：

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图书目录

L-functions and Functoriality&James W.Cogdell1

Ⅰ L-functions for GL(n)and Converse Theorems3

1 Modular Forms and Automorphic Representations3

2 L-functions for GLn and Converse Theorems8

Ⅱ L-functions via Eisenstein Series15

3 The Origins：Langlands15

4 The Method：Langlands-Shahidi21

5 The Results：Shahidi26

Ⅲ Functoriality30

6 Langlands Conjectures and Functoriality30

7 The Converse Theorem and Functoriality36

8 Symmetric Powers and Applications41

References47

Twisted Hilbert Modular L-functions and Spectral Theory&Gergely Harcos49

1 Lecture One：Some Quadratic Forms49

2 Lecture Two：More Quadratic Forms53

3 Lecture Three：Preliminaries from Number Theory56

4 Lecture Four：Subconvexity of Twisted L-functions61

Acknowledgments64

References64

The Voronoi Formula for the Triple Divisor Function&Xiaoqing Li69

1 Introduction69

2 Proof of the Main Theorem71

Acknowledgments89

References89

Linnik's Ergodic Method and the Hasse Principle for Ternary Quadratic Forms&Philippe Michel91

1 Foreword91

2 Integral Quadratic Forms92

3 The Hasse Principle93

4 Quadratic Forms over Lattices96

5 Equidistribution on Adelic Quotient101

6 Properties of the Adeles106

7 The Hasse Integral Principle and Equidistribution of Adelic Orbits114

8 The Ergodic Method118

References129

Automorphic Periods and Representation Theory&Andre Reznikov131

1 Automorphic Representations and Frobenius Reciprocity131

2 Bounds on Periods and Representation Theory143

Acknowledgments147

References147

Eisenstein Series,L-functions and Representation Theory&Freydoon Shahidi149

1 Preliminaries150

2 L-Groups,L-Functions and Generic Representations151

3 Eisenstein Series and Intertwining Operators;The Constant Term154

4 Constant Term and Automorphic L-Functions156

5 Examples160

6 Local Coefficients,Nonconstant Term and the Crude Functional Equation160

7 The Main Induction,Functional Equations and Multiplicativity162

8 Twists by Highly Ramified Characters,Holomorphy and Boundedness166

9 Examples of Functoriality with Applications168

10 Applications to Representation Theory171

References173

Lecture Notes on Some Analytic Properties of Automorphic L-functions for SL2(Z)&Yangbo Ye179

1 Introduction179

2 An Integral Representation and Functional Equation180

3 A Converse Theorem188

4 The Phragmén-Lindel？f Principle and Convexity193

5 The Rankin-Selberg Theory197

References202

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