Six Short Chapters on Automorphic Forms and L-functions
Authors: Dou, Ze-Li, Zhang, Qiao
Free Preview- Treats the period conjectures of Shimura and the moment conjecture, both central in number theory but little discussed in expository form
- Provides motivational material to help reader understand the history and purpose of the main topics
- Brief, relatively independent chapters with distinct themes, enable quick access and lucidity
- Reaches the forefront of research quickly, and gives guide to literature
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- About this book
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"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.
- Reviews
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“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)
- Table of contents (6 chapters)
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Modular forms and the Shimura-Taniyama Conjecture
Pages 1-16
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Periods of automorphic forms
Pages 17-42
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Lifting of automorphic forms
Pages 43-55
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Zeros of L-functions
Pages 57-75
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Special Values of L-functions
Pages 77-98
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Table of contents (6 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Six Short Chapters on Automorphic Forms and L-functions
- Authors
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- Ze-Li Dou
- Qiao Zhang
- Copyright
- 2012
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Science Press, Beijing and Springer Berlin Heidelberg
- eBook ISBN
- 978-3-642-28708-4
- DOI
- 10.1007/978-3-642-28708-4
- Edition Number
- 1
- Number of Pages
- XI, 123
- Additional Information
- Jointly published with Science Press
- Topics
