Some properties of overpartitions into nonmultiples of two integers

AIMS Mathematics 2026 Open access

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Authors: Abdulaziz Mohammed Alanazi, Augustine O. Munagi, Manjil P. Saikia
DOI: 10.3934/math.2026408
Cited by: 0

Abstract

We consider properties of overpartitions that are simultaneously $ \ell $-regular and $ \mu $-regular, where $ \ell $ and $ \mu $ are positive relatively prime integers. We prove a seven-way combinatorial identity related to these overpartitions. We also prove several congruence properties satisfied by this class of partitions (and a further related class) using both generating functions and modular forms with Radu's algorithm.

Fields of Study & Subjects

Advanced Optimization Algorithms Research Aerospace Engineering and Control Systems Optimization and Packing Problems

Publication details

Journal / source
AIMS Mathematics
Volume
11
Issue
4
Pages
9876–9891
Publication date
1 January 2026
Language
EN