Abstract
For any given positive integersmand n, let pm(n) denote the number of overpartitions of n with no parts divisible by 4mand only the parts congruent tommodulo 2moverlined. In this paper, we prove Ramanujan-type congruences modulo 2 for pm(n) by applying q-series and Ramanujan’s theta-function identities.
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Srivastava, H.M., Saikia, N. Some Congruences for Overpartitions with Restriction. Math Notes 107, 488–498 (2020). https://doi.org/10.1134/S0001434620030128
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DOI: https://doi.org/10.1134/S0001434620030128