Abstract
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.
Original language | English (US) |
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Pages (from-to) | 62-89 |
Number of pages | 28 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 479 |
Issue number | 1 |
DOIs | |
State | Published - Nov 1 2019 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019 Elsevier Inc.
Keywords
- Congruences
- Mock theta function
- Partition