In this paper, we study arithmetic properties of a partition function related to an eighth order mock theta function of Gordon and McIntosh. Via elementary generating function manipulations, a complete characterization of the parity of this function is presented, from which infinitely many Ramanujan-like congruences modulo 2 are obtained. In addition, many congruences modulo certain numbers of the form 2α3β5 are presented.
Bibliographical noteFunding Information:
The second author was supported by FAPESP (grant no. 2016/14057-2 ).
© 2019 Elsevier Inc.
- Mock theta function