Bruinier, Jan Hendrik ; Schwagenscheidt, Markus (2021)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions.
In: Mathematische Zeitschrift, 297 (3-4)
doi: 10.1007/s00209-020-02572-y
Article, Bibliographie
This is the latest version of this item.
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: | 2021 |
| Creators: | Bruinier, Jan Hendrik ; Schwagenscheidt, Markus |
| Type of entry: | Bibliographie |
| Title: | Theta lifts for Lorentzian lattices and coefficients of mock theta functions |
| Language: | English |
| Date: | April 2021 |
| Place of Publication: | Berlin ; Heidelberg |
| Publisher: | Springer |
| Journal or Publication Title: | Mathematische Zeitschrift |
| Volume of the journal: | 297 |
| Issue Number: | 3-4 |
| DOI: | 10.1007/s00209-020-02572-y |
| Corresponding Links: | |
| 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 |
| 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: | 25 Apr 2024 10:12 |
| Last Modified: | 25 Apr 2024 10:12 |
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| Suche nach Titel in: | TUfind oder in Google |
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Theta lifts for Lorentzian lattices and coefficients of mock theta functions. (deposited 23 Apr 2024 12:51)
- Theta lifts for Lorentzian lattices and coefficients of mock theta functions. (deposited 25 Apr 2024 10:12) [Currently Displayed]
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