Congruences for 7 and 49-regular partitions modulo powers of 7

Adiga, Chandrashekar and Ranganatha, D. (2018) Congruences for 7 and 49-regular partitions modulo powers of 7. The Ramanujan Journal, 46 (3). pp. 821-833. ISSN 1572-9303

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Abstract

Let bk(n) denote the number of k-regular partitions of n. In this paper, we prove Ramanujan-type congruences modulo powers of 7 for b7(n) and b49(n). For example, for all j≥1 and n≥0, we prove that b7(72j−1n+3⋅72j−1−14)≡0(mod7j) and b49(7jn+7j−2)≡0(mod7j).

Item Type:	Article
Subjects:	E Mathematical Science > Mathematics
Divisions:	Department of > Mathematics
Depositing User:	Manjula P Library Assistant
Date Deposited:	08 Jul 2019 07:48
Last Modified:	11 Aug 2022 06:48
URI:	http://eprints.uni-mysore.ac.in/id/eprint/4877

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