ARITHMETIC PROPERTIES of 3-REGULAR PARTITIONS in THREE COLOURS

Robson Da Silva; James A. Sellers

doi:10.1017/S0004972721000411

ARITHMETIC PROPERTIES of 3-REGULAR PARTITIONS in THREE COLOURS

Robson Da Silva, James A. Sellers

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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, 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

Original language	English (US)
Pages (from-to)	415-423
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	104
Issue number	3
DOIs	https://doi.org/10.1017/S0004972721000411
State	Published - Dec 7 2021

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Keywords

3-regular
congruence
partition
three colours

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ARITHMETIC PROPERTIES of 3-REGULAR PARTITIONS in THREE COLOURS

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