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 G, WAKIMOTO, MINORU
Format: Article
Language:English
Published: Springer Nature 2021
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.
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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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