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Spectral Methods of Automorphic Forms. 2nd Revised edition.
・ISBN 978-1-4704-6622-0 paper US$ 89.00
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★★★
| 著者・編者 | Iwaniec, Henryk, |
|---|---|
| シリーズ | Graduate Studies in Mathematics |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2002 |
| ページ数 | 220 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12590＞ |
解説
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 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.
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 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.