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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
- 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
