Spectral Methods of Automorphic Forms
：Second Edition
( Graduate Studies in Mathematics )
Publication subTitle ：Second Edition
Publication series ：Graduate Studies in Mathematics
Author： Henryk Iwaniec
Publisher： American Mathematical Society
Publication year： 2002
E-ISBN: 9781470417987
P-ISBN(Hardback): 9780821831601
Subject： O174.54 elliptic function, the Abel function, automorphic function
Keyword： 暂无分类
Language： ENG
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Spectral Methods of Automorphic Forms
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. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.
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