SPECTRAL METHODS OF AUTOMORPHIC FORMS by Henryk Iwaniec ( 9780821831601 )

Item Details

Title:

SPECTRAL METHODS OF AUTOMORPHIC FORMS

By:

Format:

Hardback

List price:	£52.95
We believe that this item is permanently unavailable, and so we cannot source it.

ISBN 10:

0821831607

ISBN 13:

9780821831601

Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

15 November, 2002

Edition:

2nd Revised edition

Series:

Graduate Studies in Mathematics No. 53

Pages:

220

Description:

Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. This book treats the spectral theory of automorphic forms as the study of the space $L^2 (H\Gamma)$ and $\Gamma$ is a discrete subgroup of volume-preserving transformations of $H$.

Synopsis:

Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this volume was an underground classic, both as a textbook and as a respected source for results, ideas, and references. The book's reputation sparked a growing interest in the mathematical community to bring it back into print. The AMS has answered that call with the publication of this second edition. In the book, Iwaniec treats the spectral theory of automorphic forms as the study of the space $L^2 (H\Gamma)$, where $H$ is the upper half-plane and $\Gamma$ is a discrete subgroup of volume-preserving transformations of $H$.He combines various techniques from analytic number theory. Among the topics discussed are Eisenstein series, estimates for Fourier coefficients of automorphic forms, the theory of Kloosterman sums, the Selberg trace formula, and the theory of small eigenvalues.Henryk Iwaniec was awarded the 2002 AMS Cole Prize for his fundamental contributions to analytic number theory. Also available from the AMS by H. Iwaniec is ""Topics in Classical Automorphic Forms"", Volume 17 in the ""Graduate Studies in Mathematics"" series. The book is designed for graduate students and researchers working in analytic number theory.

Illustrations:

references, indexes

Publication:

Imprint:

American Mathematical Society

Returns:

Returnable

Some other items by this author:

ANALYTIC NUMBER THEORY

ANALYTIC NUMBER THEORY (HB)

ANALYTIC NUMBER THEORY (PB)

LECTURES ON THE RIEMANN ZETA FUNCTION (PB)