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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… Click to show full abstract
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 $p_{\{3,3\}}(n).$
Keywords:
properties regular;
regular partitions;
arithmetic properties;
three colours;
partitions three
Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2021
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Journal Title: Bulletin of the Australian Mathematical Society
Year Published: 2021
Link to full text (if available)
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recommendations!