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Partitions, q-Series, and Modular Forms
Language: en
Pages: 233
Authors: Krishnaswami Alladi
Categories: Mathematics
Type: BOOK - Published: 2011-11-01 - Publisher: Springer Science & Business Media

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Partitions, q-Series, and Modular Forms contains a collection of research and survey papers that grew out of a Conference on Partitions, q-Series and Modular Fo
The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and $q$-series
Language: en
Pages: 226
Authors: Ken Ono
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

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Chapter 1.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series
Language: en
Pages: 764
Authors: George E. Andrews
Categories: Mathematics
Type: BOOK - Published: 2018-02-01 - Publisher: Springer

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Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number th
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
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