Some Properties of Overpartitions into Nonmultiples of Two Integers

Autor:	Alanazi, Abdulaziz M., Munagi, Augustine O., Saikia, Manjil P.
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.18938 Zobrazit plný text záznamu View this record from Arxiv