Bruinier, Jan Hendrik ; Schwagenscheidt, Markus (2024)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions.
In: Mathematische Zeitschrift, 2021, 297 (3-4)
doi: 10.26083/tuprints-00023898
Article, Secondary publication, Publisher's Version
There is a more recent version of this item available. |
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.
Item Type: | Article |
---|---|
Erschienen: | 2024 |
Creators: | Bruinier, Jan Hendrik ; Schwagenscheidt, Markus |
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 |
URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23898 |
Corresponding Links: | |
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 04 Department of Mathematics > Algebra 04 Department of Mathematics > Algebra > Automorphic Forms, Number Theory, Algebraic Geometry |
Date Deposited: | 23 Apr 2024 12:51 |
Last Modified: | 25 Apr 2024 10:12 |
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