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Modular Forms: Basics and Beyond
Language: en
Pages: 183
Authors: Goro Shimura
Categories: Mathematics
Type: BOOK - Published: 2011-11-18 - Publisher: Springer Science & Business Media

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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
A First Course in Modular Forms
Language: en
Pages: 462
Authors: Fred Diamond
Categories: Mathematics
Type: BOOK - Published: 2006-03-30 - Publisher: Springer Science & Business Media

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This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers el
Modular Forms and Related Topics in Number Theory
Language: en
Pages: 240
Authors: B. Ramakrishnan
Categories: Mathematics
Type: BOOK - Published: 2020-11-24 - Publisher: Springer Nature

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This book collects the papers presented at the Conference on Number Theory, held at the Kerala School of Mathematics, Kozhikode, Kerala, India, from December 10
Introduction to Siegel Modular Forms and Dirichlet Series
Language: en
Pages: 188
Authors: Anatoli Andrianov
Categories: Mathematics
Type: BOOK - Published: 2008-12-22 - Publisher: Springer Science & Business Media

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Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions.
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