
Spectral Methods of Automorphic Forms
Henryk Iwaniec(Author)
American Mathematical Society (Publisher)
2nd Edition
Published on 30. January 2002
Book
Paperback/Softback
220 pages
978-1-4704-6622-0 (ISBN)
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 L2 functionson 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.
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 L2 functionson 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.
More details
Series
Edition
Second Edition
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Edition type
New edition
ISBN-13
978-1-4704-6622-0 (9781470466220)
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Schweitzer Classification
Person
Henryk Iwaniec, Rutgers University, Piscataway, NJ.