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Automorphic Forms and Applications
Language: en
Pages: 443
Authors: Peter Sarnak
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been establis
Spectral Methods of Automorphic Forms
Language: en
Pages: 220
Authors: Henryk Iwaniec
Categories: Mathematics
Type: BOOK - Published: 2021-11-17 - Publisher: American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain

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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
Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
Language: en
Pages: 409
Authors: Kathrin Bringmann
Categories: Mathematics
Type: BOOK - Published: 2017-12-15 - Publisher: American Mathematical Soc.

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Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holom
Automorphic Forms on GL (3,TR)
Language: en
Pages: 196
Authors: D. Bump
Categories: Mathematics
Type: BOOK - Published: 2006-12-08 - Publisher: Springer

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Topological Modular Forms
Language: en
Pages: 353
Authors: Christopher L. Douglas
Categories: Mathematics
Type: BOOK - Published: 2014-12-04 - Publisher: American Mathematical Soc.

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The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of th