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Six Short Chapters on Automorphic Forms and L-functions

Authors: Dou, Ze-Li, Zhang, Qiao

  • 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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eBook 71,39 €
price for Spain (gross)
  • ISBN 978-3-642-28708-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,35 €
price for Spain (gross)
  • ISBN 978-3-642-28707-7
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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About this 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.

Reviews

“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)

  • Modular forms and the Shimura-Taniyama Conjecture

    Dou, Ze-Li (et al.)

    Pages 1-16

    Preview Buy Chapter 30,19 €
  • Periods of automorphic forms

    Dou, Ze-Li (et al.)

    Pages 17-42

    Preview Buy Chapter 30,19 €
  • Lifting of automorphic forms

    Dou, Ze-Li (et al.)

    Pages 43-55

    Preview Buy Chapter 30,19 €
  • Zeros of L-functions

    Dou, Ze-Li (et al.)

    Pages 57-75

    Preview Buy Chapter 30,19 €
  • Special Values of L-functions

    Dou, Ze-Li (et al.)

    Pages 77-98

    Preview Buy Chapter 30,19 €

Buy this book

eBook 71,39 €
price for Spain (gross)
  • ISBN 978-3-642-28708-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,35 €
price for Spain (gross)
  • ISBN 978-3-642-28707-7
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Six Short Chapters on Automorphic Forms and L-functions
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Science Press, Beijing and Springer Berlin Heidelberg
Distribution Rights
Distribution rights in China: Science Press Ltd.
eBook ISBN
978-3-642-28708-4
DOI
10.1007/978-3-642-28708-4
Hardcover ISBN
978-3-642-28707-7
Edition Number
1
Number of Pages
XI, 123
Additional Information
Jointly published with Science Press
Topics