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Six Short Chapters on Automorphic Forms and L-functions

Six Short Chapters on Automorphic Forms and L-functions


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About the Book

"Six Short Chapters on Automorphic Forms and L-functions" treats the period conjectures of Shimura and the moment conjecture. These conjectures are of central importance in contemporary number theory, but have hitherto remained little discussed in expository form. The book is divided into six short and relatively independent chapters, each with its own theme, and presents a motivated and lively account of the main topics, providing professionals an overall view of the conjectures and providing researchers intending to specialize in the area a guide to the relevant literature. Ze-Li Dou and Qiao Zhang are both associate professors of Mathematics at Texas Christian University, USA.

Table of Contents:
Modular forms and the Shimura-Taniyama Conjecture.- Periods of automorphic forms.- Lifting of automorphic forms.- Zeros of L-functions.- Special Values of L-functions.- Theta lifts and periods with respect to a quadratic extension.

Review :
“The book under review is the result of the authors reworking a number of talks, aimed at graduate students and lay mathematicians, they had given over the previous few years. … it is a useful contribution to the literature because it succinctly and clearly gives a broad overview of the field and is presented in such a way that it was actually quite fun to read.” (Nathan Ryan, zbMATH 1309.11001, 2015) “The book is thus a useful big-picture overview of automorphic forms and L-functions for graduate students, researchers in related areas, as well as for anyone (including researchers in the field) looking for a snapshot of various connections.” (Djordje Milićević, Mathematical Reviews, August, 2014) “There are six chapters, and they are all related in one way or another to automorphic forms. … the book may well serve as light reading for the modular/automorphic community, and could be of great value to graduate students beginning to try to understand the field.” (Fernando Q. Gouvêa, MAA Reviews, March, 2014)


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Product Details
  • ISBN-13: 9783642287077
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 123
  • Width: 155 mm
  • ISBN-10: 3642287077
  • Publisher Date: 11 Sep 2012
  • Binding: Hardback
  • Language: English
  • Returnable: Y


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