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出版时间:2014-07

出版社:高等教育出版社

以下为《自守形式与L-函数(英文版)》的配套数字资源,这些资源在您购买图书后将免费附送给您:
  • 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
作者简介

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。

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内容简介

All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying,recording or by any information storage and retrieval system, without permission.

目录

 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

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