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Harmonic Maass Forms and Mock Modular Forms: Theory and Applications.

9781470419448

Harmonic Maass Forms and Mock Modular Forms: Theory and Applications

Kathrin Bringmann, Amanda Folsom, Ken Ono, and Larry Rolen

American Mathematical Society

2017

391 pages

$104.00

Hardcover

American Mathematical Society Colloquium Publications; Volume 64

QA567

The 21 papers in this collection consider harmonic Maass forms and mock modular forms, the background to them, and their applications. The topics include theta functions and holomorphic Jacobi forms, classical Maass forms, differential operators and mock modular forms, examples of harmonic Maass forms, Ramanujan's mock theta functions, the mock modular Eichler-Shimua theory, asymptotics for coefficients of modular-type functions, harmonic Mass forms as arithmetic and geometric generating functions, generalized Borcherds products, and representation theory and mock modular forms. ([umlaut] Ringgold, Inc., Portland, OR)

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Title Annotation:Kathrin Bringmann, Amanda Folsom, Ken Ono, and Larry Rolen
Publication:ProtoView
Article Type:Book review
Date:Jan 1, 2018
Words:120
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