Journal of the Ramanujan Mathematical Society
Volume 36, Issue 4, December 2021 pp. 331–337.
Divisibility and distribution of 2l-regular overpartitions
Authors:
Chiranjit Ray
Author institution:Department of Mathematics, Harish-Chandra Research Institute, Uttar Pradesh 211~019, India
Summary:
Let A{l}(n) be the number of overpartitions of
$n$ into parts not divisible by l. In~this paper, we prove
that A{2l}(n) is almost always divisible by 2{k}
and we exhibit infinite families of congruences for
A{2l}(n).
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