Congruence properties of coefficients of the eighth order mock theta function $V_0(q)$
Number Theory
2020-01-01 v1
Abstract
We study the divisibility properties of the partition function associated with the eighth order mock theta function , introduced by Gordon and McIntosh. We obtain congruences modulo powers of 2 for certain coefficients of the partition function, akin to Ramanujan's partition congruences. Further, we also present several infinite families of congruences molulo 13, 25 and 27.
Cite
@article{arxiv.1912.12445,
title = {Congruence properties of coefficients of the eighth order mock theta function $V_0(q)$},
author = {B. Hemanthkumar},
journal= {arXiv preprint arXiv:1912.12445},
year = {2020}
}