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Authors
Affiliations
1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru 570 006, Karnataka, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 32, No 2 (2017), Pagination: 147–163
Abstract
Let Āℓ(n) denote the number of ℓ-regular overpartitions of n. Recently, Shen discovered some congruences modulo 2, 6, 24 for Ā3(n) and modulo 3, 24 for Ā44(n). In this paper, we establish several new congruences modulo powers of 2 for Ā2r (n), where r ≥ 2.