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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Main Authors: Kac, Victor, Wakimoto, Minoru
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Nature 2022
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.
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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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