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The Theory of Jacobi Forms
Language: en
Pages: 156
Authors: Martin Eichler
Categories: Mathematics
Type: BOOK - Published: 2013-12-14 - Publisher: Springer Science & Business Media

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The functions studied in this monogra9h are a cross between elliptic functions and modular forms in one variable. Specifically, we define a Jacobi form on SL (~
Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields
Language: en
Pages: 150
Authors: Hatice Boylan
Categories: Mathematics
Type: BOOK - Published: 2014-12-05 - Publisher: Springer

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The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hi
Elements of the Representation Theory of the Jacobi Group
Language: en
Pages: 225
Authors: Rolf Berndt
Categories: Mathematics
Type: BOOK - Published: 2012-01-05 - Publisher: Springer Science & Business Media

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Combining algebraic groups and number theory, this volume gathers material from the representation theory of this group for the first time, doing so for both lo
The Moduli Space of Curves
Language: en
Pages: 570
Authors: Robert H. Dijkgraaf
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing obje
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