Congruences for overpartitions with ${\ell}$-regular nonoverlined parts
Let $\overline{R_{\ell}^{*}}$ denote the number of overpartitions of $n$ where nonoverlined parts are $\ell$-regular and overlined parts are unrestricted. In this paper, we establish several Ramanujan like congruences and infinite families of congruences for $\overline{R_{\ell}^{*}}$ for $\ell=2k, 5, 6$ and $8k$. For example, for all $n\geq 0$ $$\overline{R_{184}^{*}}(16n+15)\equiv 0\pmod{1472}.$$
Authors
- S. Chandankumar (ORCID: https://orcid.org/0000-0002-1897-1038)
- C. Shivashankar (ORCID: https://orcid.org/0000-0001-7503-4414)
- K. C. Ajeyakashi
Publication Details
- Journal
- Functiones et Approximatio Commentarii Mathematici
- Published
- 2025-06-16
- DOI
- https://doi.org/10.7169/facm/241226-5-5
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00