Anton Deitmar

Automorphic Forms (eBook, PDF)

• Format: PDF

Produktbeschreibung

Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem.

This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of view of adeles and representation theory. The reader will learn the important aims and results of the theory by focussing on its essential aspects and restricting it to the 'base field' of rational numbers.

Students interested for example in arithmetic geometry or number theory will find that this book provides an optimal and easily accessible introduction into this topic.

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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 252
• Erscheinungstermin: 29. August 2012
• Englisch
• ISBN-13: 9781447144359
• Artikelnr.: 37791672

Inhaltsangabe

Doubly periodic functions.-Modular forms for SL2(Z).-Representations of SL2(R).-p-adic numbers.-Adeles and ideles.-Tate's thesis.-Automorphic representations of GL2(A).-Automorphic L-functions.

Rezensionen

From the reviews: "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)