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.

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Bibliografische Details

Titel: Spectral Methods of Automorphic Forms
Verlag: American Mathematical Society, US
Erscheinungsjahr: 2002
Sprache: Englisch
ISBN-10: 1470466228
ISBN-13: 9781470466220
Einband: Paperback
Auflage: Second Edition.
Zustand: New

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Inhaltsangabe

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.