ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS

Da Silva, Robson; Sellers, James A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS

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Author(s):	Da Silva, Robson ^[1] ; Sellers, James A. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Sao Paulo, Av Cesare MG Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP - Brazil ^[2] Univ Minnesota, Duluth, MN 55812 - USA Total Affiliations: 2
Document type:	Journal article
Source:	BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY; v. 104, n. 3, p. 415-423, DEC 2021.
Web of Science Citations:	1
Abstract
Gireesh and Mahadeva Naika {[}'On 3-regular partitions in 3-colors', Indian J. Pure Appl. Math. 50 (2019), 137-148] proved an infinite family of congruences modulo powers of 3 for the function p([3,3])(n), the number of 3-regular partitions in three colours. In this paper, using elementary generating function manipulations and classical techniques, we significantly extend the list of proven arithmetic properties satisfied by p([3,3])(n). (AU)

FAPESP's process:	19/14796-8 - Arithmetic properties of partition functions
Grantee:	Robson Oliveira da Silva
Support Opportunities:	Regular Research Grants

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