Spectral Methods of Automorphic Forms (Graduate Studies in Mathematics, 53) - Softcover

Henryk Iwaniec

Softcover

ISBN 10: 1470466228 ISBN 13: 9781470466220

Publisher: American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain, 2021

Synopsis

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.

About this title

About the Author

Henryk Iwaniec, Rutgers University, Piscataway, NJ

Edition details

• Publisher: American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain
• Publication date: 2021
• Language: English
• ISBN 10: 1470466228
• ISBN 13: 9781470466220
• Binding: Paperback
• Edition number: 2
• Number of pages: 220