A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
© 2016, Springer Science+Business Media New York. We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions. Namely, modified mock theta functions are characterized by their analyticity properties, elliptic transformation prop...
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Format: | Article |
Language: | English |
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Springer Nature
2022
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Online Access: | https://hdl.handle.net/1721.1/134681.2 |
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author | Kac, Victor Wakimoto, Minoru |
author2 | Massachusetts Institute of Technology. Department of Mathematics |
author_facet | Massachusetts Institute of Technology. Department of Mathematics Kac, Victor Wakimoto, Minoru |
author_sort | Kac, Victor |
collection | MIT |
description | © 2016, Springer Science+Business Media New York. We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions. Namely, modified mock theta functions are characterized by their analyticity properties, elliptic transformation properties, and by being annihilated by certain second order differential operators. |
first_indexed | 2024-09-23T12:40:27Z |
format | Article |
id | mit-1721.1/134681.2 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T12:40:27Z |
publishDate | 2022 |
publisher | Springer Nature |
record_format | dspace |
spelling | mit-1721.1/134681.22022-04-14T19:31:30Z A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS Kac, Victor Wakimoto, Minoru Massachusetts Institute of Technology. Department of Mathematics © 2016, Springer Science+Business Media New York. We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions. Namely, modified mock theta functions are characterized by their analyticity properties, elliptic transformation properties, and by being annihilated by certain second order differential operators. 2022-04-14T19:31:29Z 2021-10-27T20:06:09Z 2022-04-14T19:31:29Z 2017 2021-04-28T18:09:59Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/134681.2 en 10.1007/S00031-016-9403-8 Transformation Groups Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/octet-stream Springer Nature arXiv |
spellingShingle | Kac, Victor Wakimoto, Minoru A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS |
title | A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS |
title_full | A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS |
title_fullStr | A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS |
title_full_unstemmed | A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS |
title_short | A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS |
title_sort | characterization of modified mock theta functions |
url | https://hdl.handle.net/1721.1/134681.2 |
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