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Spectral Methods of Automorphic Forms Book PDF Summary

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.

Detail Book of Spectral Methods of Automorphic Forms PDF

Spectral Methods of Automorphic Forms
  • Author : Henryk Iwaniec
  • Release : 17 November 2021
  • Publisher : American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain
  • ISBN : 9781470466220
  • Genre : Mathematics
  • Total Page : 220 pages
  • Language : English
  • PDF File Size : 19,6 Mb

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Spectral Methods of Automorphic Forms

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