自守形式与L-函数

　　CIMPA-UNESCO-CHINA暑期学校“自守形式与L-函数”于2010年8月1日至14日在山东大学威海校区举办，该国际暑期学校受联合国教科文组织资助，邀请的演讲人都是本领域著名的专家。刘建亚主编的《自守形式与L-函数》汇集了这次暑期学校以下演讲人的讲义：J.Cogdell，G.Harcos，李小青，P.Michel，A.Reznikov，F.Shahidi以及叶扬波。《自守形式与L-函数》涵盖自守形式、L-函数、谱理论及表示理论等方面的内容，既给出了自守形式与L-函数很好的介绍，也指出了其算术应用。《自守形式与L-函数》不仅是本领域专家们有价值的参考书，也是研究生开展研究时极好的入门书。

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 G/i and Converse Theorems
  Ⅱ L-functions via Eisenstein Series
    3 The Origins: Langlands
    4 The Method: Langlands-Shahidi
    5 The Results: Shahidi
  Ⅲ Functoriality
    6 Langlands Conjectures and Functoriality
    7 The Converse Theorem and 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 /-functions
  Acknowledgments
  References
The Voronoi Formula for the rlyiple Divisor Function
  Xiaoqin.g Li
  1 Introduction
  2 Proof of the Main Theorem
  Acknowledgments
  References
Linnik's Ergodic Method and the Hasse Principle for Ternary Quadratic Forms
  Philippe Michel
  1 Foreword
  2 Integral Quadratic Forms
  3 TheHassePrinciple
  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 Ergodic Method
  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 /-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 Converse Theorem
  4 The Phragmen-Lindelof Principle and Convexity
  5 The Rankin-Selberg Theory
  References