Modular And Automorphic Forms & Beyond

Modular And Automorphic Forms & Beyond
Author: Hossein Movasati
Publisher: World Scientific
Total Pages: 323
Release: 2021-10-12
Genre: Mathematics
ISBN: 9811238693

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The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi-Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called 'Gauss-Manin connection in disguise'.


Modular And Automorphic Forms & Beyond
Language: en
Pages: 323
Authors: Hossein Movasati
Categories: Mathematics
Type: BOOK - Published: 2021-10-12 - Publisher: World Scientific

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The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the liter
Automorphic Forms Beyond $mathrm {GL}_2$
Language: en
Pages: 199
Authors: Ellen Elizabeth Eischen
Categories: Mathematics
Type: BOOK - Published: 2024-03-26 - Publisher: American Mathematical Society

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The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representa
Modular Forms: Basics and Beyond
Language: en
Pages: 178
Authors: Goro Shimura
Categories: Mathematics
Type: BOOK - Published: 2014-01-25 - Publisher: Springer

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This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interes
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
Automorphic Forms and Representations
Language: en
Pages: 592
Authors: Daniel Bump
Categories: Mathematics
Type: BOOK - Published: 1998-11-28 - Publisher: Cambridge University Press

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This book takes advanced graduate students from the foundations to topics on the research frontier.