The number of maximal unrefinable partitions

The Ramanujan Journal 2026 Open access

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Authors: Riccardo Aragona, Lorenzo Campioni, Roberto Civino
DOI: 10.1007/s11139-026-01335-3
Cited by: 1
References: 7

Abstract

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.

Fields of Study & Subjects

Advanced Mathematical Identities Analytic Number Theory Research Advanced Combinatorial Mathematics

Publication details

Journal / source
The Ramanujan Journal
Publisher
Springer Science and Business Media LLC
Volume
69
Issue
3
Publication date
13 February 2026
Language
EN