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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】
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- 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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