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
2021
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Online Access: | https://hdl.handle.net/1721.1/134681 |
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author | KAC, VICTOR G WAKIMOTO, MINORU |
author_facet | KAC, VICTOR G WAKIMOTO, MINORU |
author_sort | KAC, VICTOR G |
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 | 2024-09-23T09:41:51Z |
format | Article |
id | mit-1721.1/134681 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T09:41:51Z |
publishDate | 2021 |
publisher | Springer Nature |
record_format | dspace |
spelling | mit-1721.1/1346812021-10-28T04:41:44Z A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS KAC, VICTOR G WAKIMOTO, MINORU © 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. 2021-10-27T20:06:09Z 2021-10-27T20:06:09Z 2017 2021-04-28T18:09:59Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/134681 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/pdf Springer Nature arXiv |
spellingShingle | KAC, VICTOR G 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 |
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