Mock maass forms revisited

ABSTRACT In this paper, we use theta integrals to give a different construction of mock Maass forms studied by Sander Zwegers. Using this method, we construct new real-analytic modular forms, whose Fourier coefficients are logarithms of algebraic numbers in a real quadratic field.

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Publication Details

Journal
The Quarterly Journal of Mathematics
Published
2025-02-04
DOI
https://doi.org/10.1093/qmath/haaf006
Primary Topic
Advanced Mathematical Identities
Type
article
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article

Mock maass forms revisited

Yingkun Li, Christina Roehrig
The Quarterly Journal of Mathematics
Advanced Mathematical Identities
article

Mock maass forms revisited

Yingkun Li, Christina Roehrig
article en

Abstract

ABSTRACT In this paper, we use theta integrals to give a different construction of mock Maass forms studied by Sander Zwegers. Using this method, we construct new real-analytic modular forms, whose Fourier coefficients are logarithms of algebraic numbers in a real quadratic field.

The Quarterly Journal of Mathematics
Max Planck Institute for Mathematics (DE)
Openalex Percentile: Top 95%
Advanced Mathematical Identities
DOISourceOpenAlex
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Mock maass forms revisited — Yingkun Li, Christina Roehrig · The Quarterly Journal of Mathematics (2025) | TGRS Research Map | TGRS