Author:
Klein David,Kupka Jennifer
Abstract
AbstractWe present completions of mock theta functions to harmonic weak Maass forms of weight $$\nicefrac {1}{2}$$
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and algebraic formulas for the coefficients of mock theta functions. We give several harmonic weak Maass forms of weight $$\nicefrac {1}{2}$$
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that have mock theta functions as their holomorphic part. Using these harmonic weak Maass forms and the Millson theta lift, we compute finite algebraic formulas for the coefficients of the appearing mock theta functions in terms of traces of singular moduli.
Funder
LOEWE research unit ”Uniformized Structures in Arithmetic and Geometry”
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
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