Abstract
Recently, Alanazi et al. ['Refining overpartitions by properties of nonoverlined parts', Contrib. Discrete Math. 17(2) (2022), 96-111] considered overpartitions wherein the nonoverlined parts must be -regular, that is, the nonoverlined parts cannot be divisible by the integer. In the process, they proved a general parity result for the corresponding enumerating functions. They also proved some specific congruences for the case. In this paper we use elementary generating function manipulations to significantly extend this set of known congruences for these functions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 478-489 |
| Number of pages | 12 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 111 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 1 2025 |
Bibliographical note
Publisher Copyright:© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Keywords
- congruences
- generating functions
- overpartitions
- partitions