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- W2512564025 abstract "In a recent work, Andrews introduced the new combinatorial objects called singular overpartitions. He proved that these singular overpartitions can be enumerated by the partition function [Formula: see text] which denotes the number of overpartitions of [Formula: see text] in which no part is divisible by [Formula: see text] and only parts [Formula: see text] may be overlined. In this paper, we consider the function [Formula: see text] from an arithmetical point of view. We establish a number of Ramanujan-like congruences and a congruence relation modulo [Formula: see text] for [Formula: see text] by employing some generating function dissection techniques. With the aid of these congruences and the relation, we obtain two new infinite families of congruences modulo [Formula: see text] satisfied by [Formula: see text]." @default.
- W2512564025 created "2016-09-16" @default.
- W2512564025 creator A5067052046 @default.
- W2512564025 date "2017-02-09" @default.
- W2512564025 modified "2023-09-23" @default.
- W2512564025 title "Congruences modulo 9 for singular overpartitions" @default.
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- W2512564025 doi "https://doi.org/10.1142/s1793042117500361" @default.
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