2-Rowed Plane Overpartitions Modulo 8 and 16

Autor:	Ali H. Al-Saedi
Rok vydání:	2022
Předmět:	General Computer Science General Chemistry General Biochemistry Genetics and Molecular Biology
Zdroj:	Iraqi Journal of Science. :4410-4416
ISSN:	2312-1637 0067-2904
DOI:	10.24996/ijs.2022.63.10.27
Popis:	In a recent study, a special type of plane overpartitions known as k-rowed plane overpartitions has been studied. The function denotes the number of plane overpartitions of n with a number of rows at most k. In this paper, we prove two identities modulo 8 and 16 for the plane overpartitions with at most two rows. We completely specify the modulo 8. Our technique is based on expanding each term of the infinite product of the generating function of the modulus 8 and 16 and in which the proofs of the key results are dominated by an intriguing relationship between the overpartitions and the sum of divisors, which reveals a considerable link among these functions modulo powers of 2.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b17b965dc408e8a26290d8a626793e45 https://doi.org/10.24996/ijs.2022.63.10.27 Zobrazit plný text záznamu