Spectral Methods of Automorphic Forms

Henryk Iwaniec

ISBN 10: 1470466228 / ISBN 13: 9781470466220

Editore: American Mathematical Society, US, 2002

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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.

Codice articolo LU-9781470466220

Dati bibliografici

• Titolo: Spectral Methods of Automorphic Forms
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 1470466228
• ISBN 13: 9781470466220
• Rilegatura: Paperback
• Edizione: Second Edition.
• Condizione: New

Descrizione articolo

Riassunto

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.