Theta lifts for Lorentzian lattices and coefficients of mock theta functions

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Item Type:	Article
Type of entry:	Secondary publication
Title:	Theta lifts for Lorentzian lattices and coefficients of mock theta functions
Language:	English
Date:	23 April 2024
Place of Publication:	Darmstadt
Year of primary publication:	April 2021
Place of primary publication:	Berlin ; Heidelberg
Publisher:	Springer
Journal or Publication Title:	Mathematische Zeitschrift
Volume of the journal:	297
Issue Number:	3-4
DOI:	10.26083/tuprints-00023898
Corresponding Links:	Publisher-DOI
Origin:	Secondary publication DeepGreen
Abstract:	We evaluate regularized theta lifts for Lorentzian lattices in three different ways. In particular, we obtain formulas for their values at special points involving coefficients of mock theta functions. By comparing the different evaluations, we derive recurrences for the coefficients of mock theta functions, such as Hurwitz class numbers, Andrews’ spt-function, and Ramanujan’s mock theta functions.
Uncontrolled Keywords:	Mathematics, general
Status:	Publisher's Version
URN:	urn:nbn:de:tuda-tuprints-238980
Classification DDC:	500 Science and mathematics > 510 Mathematics
Divisions:	04 Department of Mathematics > Algebra > Automorphic Forms, Number Theory, Algebraic Geometry
Date Deposited:	23 Apr 2024 12:51
Last Modified:	23 Apr 2024 12:51
SWORD Depositor:	Deep Green
URI:	https://tuprints.ulb.tu-darmstadt.de/id/eprint/23898
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