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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

刘建亚教授在解析数论经典问题的研究中，尤其是在堆垒素数论的研究中取得了重要的突破。实质性地改进了经典圆法；证明了盖拉格猜想；首次定出了几乎哥德巴赫猜想中的常数；成果保持国际领先水平。发表论文2余篇，多次获得教育部各种奖项。

数学高级讲义ALM

本书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。