English

Hecke-Rogers double-sums and false theta functions

Number Theory 2021-04-29 v2

Abstract

We develop a setting in which one can evaluate certain Hecke-Rogers series in terms of false theta functions. We apply our setting to recent false theta function identities of Chan and Kim as well as Andrews and Warnaar.

Cite

@article{arxiv.2010.09699,
  title  = {Hecke-Rogers double-sums and false theta functions},
  author = {Eric T. Mortenson},
  journal= {arXiv preprint arXiv:2010.09699},
  year   = {2021}
}

Comments

23 pages. Typos corrected

R2 v1 2026-06-23T19:27:43.291Z