Overview

Full Product Details

Author:   Kathrin Bringmann ,  Amanda Folsom ,  Ken Ono ,  Larry Rolen
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.825kg
ISBN:  

9781470419448

ISBN 10:   1470419440
Pages:   391
Publication Date:   30 December 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Background: Elliptic functions Theta functions and holomorphic Jacobi forms Classical Maass forms Harmonic Maass forms and mock modular forms: The basics Differential operators and mock modular forms Examples of harmonic Maass forms Hecke theory Zwegers' thesis Ramanujan's mock theta functions Holomorphic projection Meromorhic Jacobi forms Mock modular Eichler-shimura theory Related automorphic forms Applications: Partitions and unimodal sequences Asymptotics for coefficients of modular-type functions Harmonic Maass forms as arithmetic and geometric generating functions Shifted convolution $L$-functions Generalized Borcherds products Elliptic curves over $\mathbb{Q}$ Representation theory and mock modular forms Quantum modular forms Representations of mock theta functions Bibliography Index

Reviews

This wonderful book is very exciting to me as it presents some very exotic and beautiful stuff that I, for one, had no notion of...I'm happy to be enlightened, if only in a preliminary way. But this book is tailor-made to lead wayward sons like me back home and to light the right kind of fire under us...Excellent. - Michael Berg, MAA Reviews

Author Information

Kathrin Bringmann, University of Cologne, Germany. Amanda Folsom, Amherst College, MA. Ken Ono, Emory University, Atlanta, GA. Larry Rolen, Trinity College, Dublin, Ireland.

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