自守形式与L-函数(英文版)
作者: Jianya Liu主编
出版时间:2014-07
出版社:高等教育出版社
- 高等教育出版社
- 9787040395013
- 1版
- 227459
- 46254279-6
- 精装
- 16开
- 2014-07
- 340
- 204
- 理学
- 数学
- O174.54
- 数学、统计类
- 研究生及以上
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前辅文
L-functions and Functoriality
James W Cogdell
I L-functions for GL(n) and Converse Theorems
1 Modular Forms and Automorphic Representations
2 L-functions for GLn and Converse Theorems
II L-functions via Eisenstein Series
3 The Origins: Langlands
4 TheMethod: Langlands-Shahidi
5 The Results: Shahidi
III Functoriality
6 Langlands Conjectures and Functoriality
7 The ConverseTheoremand Functoriality
8 Symmetric Powers and Applications
References
Twisted Hilbert Modular L-functions and Spectral Theory
Gergely Harcos
1 Lecture One: Some Quadratic Forms
2 Lecture Two: More Quadratic Forms
3 Lecture Three: Preliminaries from Number Theory
4 Lecture Four: Subconvexity of Twisted L-functions
Acknowledgments
References
The Voronoi Formula for the Triple Divisor Function
Xiaoqing Li
1 Introduction
2 Proof of theMain Theorem
Acknowledgments
References
Linnik’s Ergodic Method and the Hasse Principle for Ternary Quadratic Forms
Philippe Michel
1 Foreword
2 IntegralQuadratic Forms
3 The Hasse Principle
4 Quadratic Forms over Lattices
5 Equidistribution on Adelic Quotient
6 Properties of the Adeles
7 The Hasse Integral Principle and Equidistribution of Adelic Orbits
8 The ErgodicMethod
References
Automorphic Periods and Representation Theory
Andre Reznikov
1 Automorphic Representations and Frobenius Reciprocity
2 Bounds on Periods and Representation Theory
Acknowledgments
References
Eisenstein Series, L-functions and Representation Theory
Freydoon Shahidi
1 Preliminaries
2 L-Groups, L-Functions and Generic Representations
3 Eisenstein Series and Intertwining Operators; The Constant Term
4 Constant Term and Automorphic L-Functions
5 Examples
6 Local Coefficients, Nonconstant Term and the Crude Functional Equation
7 The Main Induction, Functional Equations and Multiplicativity
8 Twists by Highly Ramified Characters, Holomorphy and Boundedness
9 Examples of Functoriality with Applications
10 Applications to Representation Theory
References
Lecture Notes on Some Analytic Properties of Automorphic L-functions for SL2(Z)
Yangbo Ye
1 Introduction
2 An Integral Representation and Functional Equation
3 A ConverseTheorem
4 The Phragm′en-Lindel¨ofPrinciple and Convexity
5 The Rankin-Selberg Theory
References