Overview
- Presents an elementary introduction that requires only few pre-requisites
- Introduces a host of different techniques such as representation theory, adeles and ideles, and the methods of Tate's thesis
- Combines the classical and analytical viewpoint and the modern representation-theoretic approach and reveals their interplay
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (8 chapters)
Reviews
From the reviews:
“This book covers, in a readable and clear style, the main aspects of the theory of automorphic forms with minimal prerequisites. … this book would serve very well as a one-semester course on automorphic forms, representations, and L-functions. A short guide to the literature is given, which directs interested readers to more thorough (and demanding) sources. … There are also numerous well-written exercises that develop the material further.” (Dominic A. Lanphier, Mathematical Reviews, July, 2013)
“This book is an elementary introduction to the realm of Automorphic forms. There are many books on Automorphic forms but this is the first book that requires only few pre-requisites and definitely is suitable for advanced undergraduate classes and for graduate students. … I would recommend this book if you are interested in starting learn Automorphic forms or you will give a first course on this subject. The book is very recent, very well-written and presents very nice exercises and remarks.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, March, 2013)
“The book under review is an excellent introduction to this part of number theory, geared to graduate students or accelerated and enthusiastic advanced undergraduates … . The book comes equipped with nice exercise sets and a collection of strategically placed ‘Remarks’ which will guide the reader to more advanced sources and provide him a broader and more organic perspective on the field.” (Michael Berg, MAA Reviews, January, 2013)
Authors and Affiliations
Bibliographic Information
Book Title: Automorphic Forms
Authors: Anton Deitmar
Series Title: Universitext
DOI: https://doi.org/10.1007/978-1-4471-4435-9
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London 2012
Softcover ISBN: 978-1-4471-4434-2Published: 29 August 2012
eBook ISBN: 978-1-4471-4435-9Published: 29 August 2012
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: IX, 252
Number of Illustrations: 2 b/w illustrations
Topics: Mathematics, general, Number Theory, Group Theory and Generalizations, Algebra