Abstract
Let \(\overline{p}_\ell (n)\) denote the number of overpartitions of a positive integer n such that overlined parts are not divisible by \(\ell \). In this paper, we prove some congruences for the partition function \(\overline{p}_\ell (n)\) with \(\ell \in \{3,5,9,12, 16, 18, 24\}\).
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Communicated by S Ponnusamy.
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Buragohain, P., Saikia, N. New congruences for overpartitions with \(\ell \)-regular overlined parts. J Anal 31, 1819–1837 (2023). https://doi.org/10.1007/s41478-022-00536-5
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DOI: https://doi.org/10.1007/s41478-022-00536-5