The number of maximal unrefinable partitions
Abstract This paper completes the classification of maximal unrefinable partitions, extending a previous work of Aragona et al. devoted only to the case of triangular numbers. We show that the number of maximal unrefinable partitions of an integer coincides with the number of suitable partitions into distinct parts, depending on the distance from the successive triangular number.
Authors
- Riccardo Aragona (ORCID: https://orcid.org/0000-0001-8834-4358)
- Roberto Civino (ORCID: https://orcid.org/0000-0003-3672-8485)
- Lorenzo Campioni
Publication Details
- Journal
- The Ramanujan Journal
- Published
- 2026-02-13
- DOI
- https://doi.org/10.1007/s11139-026-01335-3
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00