自守形式与L-函数

L-functions and FunctorialityJames W. CogdellⅠ L-functions for GL(n) and Converse Theorems1 Modular Forms and Automorphic Representations2 L-functions for G/i and Converse TheoremsⅡ L-functions via Eisenstein Series3 The Origins: Langlands4 The Method: Langlands-Shahidi5 The Results: ShahidiⅢ Functoriality6 Langlands Conjectures and Functoriality7 The Converse Theorem and Functoriality8 Symmetric Powers and ApplicationsReferencesTwisted Hilbert Modular L-functions and Spectral TheoryGergely Harcos1 Lecture One: Some Quadratic Forms2 Lecture Two: More Quadratic Forms3 Lecture Three: Preliminaries from Number Theory4 Lecture Four: Subconvexity of Twisted /-functionsAcknowledgmentsReferencesThe Voronoi Formula for the rlyiple Divisor FunctionXiaoqin.g Li1 Introduction2 Proof of the Main TheoremAcknowledgmentsReferencesLinnik's Ergodic Method and the Hasse Principle for Ternary Quadratic FormsPhilippe Michel1 Foreword2 Integral Quadratic Forms3 TheHassePrinciple4 Quadratic Forms over Lattices5 Equidistribution on Adelic Quotient6 Properties of the Adeles7 The Hasse Integral Principle and Equidistribution of Adelic Orbits8 The Ergodic MethodReferencesAutomorphic Periods and Representation TheoryAndre Reznikov1 Automorphic Representations and Frobenius Reciprocity2 Bounds on Periods and Representation TheoryAcknowledgmentsReferencesEisenstein Series, L-functions and Representation Theory Freydoon Shahidi1 Preliminaries2 L-Groups, L-Functions and Generic Representations3 Eisenstein Series and Intertwining Operators; The Constant Term4 Constant Term and Automorphic /-Functions5 Examples6 Local Coefficients, Nonconstant Term and the Crude Functional Equation7 The Main Induction, Functional Equations and Multiplicativity8 Twists by Highly Ramified Characters, Holomorphy and Boundedness9 Examples of Functoriality with Applications10 Applications to Representation TheoryReferencesLecture Notes on Some Analytic Properties of Automorphic L-functions for SL2 (Z)Yangbo Ye1 Introduction2 An Integral Representation and Functional Equation3 A Converse Theorem4 The Phragmen-Lindelof Principle and Convexity5 The Rankin-Selberg TheoryReferences