English

A characterization of modified mock theta functions

Representation Theory 2015-10-21 v1

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.

Keywords

Cite

@article{arxiv.1510.05683,
  title  = {A characterization of modified mock theta functions},
  author = {Victor G. Kac and Minoru Wakimoto},
  journal= {arXiv preprint arXiv:1510.05683},
  year   = {2015}
}

Comments

25 pages

R2 v1 2026-06-22T11:24:07.803Z