Klein, David ; Kupka, Jennifer (2024)
Completions and algebraic formulas for the coefficients of Ramanujan’s mock theta functions.
In: The Ramanujan Journal : An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan, 2021, 56 (3)
doi: 10.26083/tuprints-00023933
Article, Secondary publication, Publisher's Version
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| Item Type: | Article |
|---|---|
| Type of entry: | Secondary publication |
| Title: | Completions and algebraic formulas for the coefficients of Ramanujan’s mock theta functions |
| Language: | English |
| Date: | 17 December 2024 |
| Place of Publication: | Darmstadt |
| Year of primary publication: | December 2021 |
| Place of primary publication: | Dordrecht |
| Publisher: | Springer Science |
| Journal or Publication Title: | The Ramanujan Journal : An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan |
| Volume of the journal: | 56 |
| Issue Number: | 3 |
| DOI: | 10.26083/tuprints-00023933 |
| Corresponding Links: | |
| Origin: | Secondary publication DeepGreen |
| Abstract: | We present completions of mock theta functions to harmonic weak Maass forms of weight 1/2 and algebraic formulas for the coefficients of mock theta functions. We give several harmonic weak Maass forms of weight 1/2 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. |
| Uncontrolled Keywords: | Mock theta function, Harmonic weak Maass form, Theta lift, Traces of singular moduli |
| Status: | Publisher's Version |
| URN: | urn:nbn:de:tuda-tuprints-239335 |
| Additional Information: | Mathematics Subject Classification 11F37 · 11F27 |
| Classification DDC: | 500 Science and mathematics > 510 Mathematics |
| Divisions: | 04 Department of Mathematics > Algebra > Automorphic Forms, Number Theory, Algebraic Geometry |
| Date Deposited: | 17 Dec 2024 12:58 |
| Last Modified: | 17 Dec 2024 12:58 |
| SWORD Depositor: | Deep Green |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/23933 |
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