A characterization of modified mock theta functions

Abstract

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.

25 pages

References in corpus (3)

• Mock Theta Functions
• Representations of affine superalgebras and mock theta functions III
• Characters of (relatively) integrable modules over affine Lie superlagebras

Cited by in corpus (1)

• Representations of superconformal algebras and mock theta functions