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A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS
Author(s)KAC, VICTOR G; WAKIMOTO, MINORU
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© 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.