English

On certain explicit congruences for mock theta functions

Number Theory 2010-03-24 v1

Abstract

Recently, Garthwaite-Penniston have shown that the coefficients of Ramanujan's mock theta function ω\omega satisfy infinitely many congruences of Ramanujan-type. In this work we give the first explicit examples of congruences for Ramanujan's mock theta function ω\omega and another mock theta function C\mathcal{C}.

Keywords

Cite

@article{arxiv.1003.4433,
  title  = {On certain explicit congruences for mock theta functions},
  author = {Matthias Waldherr},
  journal= {arXiv preprint arXiv:1003.4433},
  year   = {2010}
}
R2 v1 2026-06-21T15:01:21.367Z