Congruences for partition functions related to mock theta functions
- 13 Downloads
Partitions associated with mock theta functions have received a great deal of attention in the literature. Recently, Choi and Kim derived several partition identities from the third- and sixth-order mock theta functions. In addition, three Ramanujan-type congruences were established by them. In this paper, we present some new congruences for these partition functions.
KeywordsPartition t-Core partition Cubic partition Mock theta function Ramanujan-type congruence
Mathematics Subject Classification11P83 05A17
We would like to thank the referee and editor for helpful comments.
- 4.Andrews, G.E., Dixit, A., Yee, A.J.: Partitions associated with the Ramanujan/Watson mock theta functions \(\omega (q)\), \(\nu (q)\) and \(\phi (q)\). Res. Number Theory1, 19 (2015)Google Scholar
- 5.Andrews, G.E., Dixit, A., Schultz, D., Yee, A.J.: Overpartitions related to the mock theta function $\omega (q)$. Preprint (2016). Available at arXiv:1603.04352 Google Scholar