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A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
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A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
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1510.05683.pdf
Description
Submitted version
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sword-2021-04-28T18:09:59.original.xml (130 B)
Original SWORD entry document
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Author(s)
KAC, VICTOR G
•
WAKIMOTO, MINORU
Date Issued
2017
Journal
Transformation Groups
Publisher
Springer Nature
Version
Original manuscript
Abstract
© 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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Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/134681
DOI of Published Version
10.1007/S00031-016-9403-8
