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Some Applications of Modular Forms
Language: en
Pages: 124
Authors: Peter Sarnak
Categories: Mathematics
Type: BOOK - Published: 1990-11-15 - Publisher: Cambridge University Press

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The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analy
The 1-2-3 of Modular Forms
Language: en
Pages: 273
Authors: Jan Hendrik Bruinier
Categories: Mathematics
Type: BOOK - Published: 2008-02-10 - Publisher: Springer Science & Business Media

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This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordf
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
Modular Forms, a Computational Approach
Language: en
Pages: 290
Authors: William A. Stein
Categories: Mathematics
Type: BOOK - Published: 2007-02-13 - Publisher: American Mathematical Soc.

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This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introducto
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