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2019 On $k$-restricted overpartitions
Uha Isnaini
Rocky Mountain J. Math. 49(4): 1207-1221 (2019). DOI: 10.1216/RMJ-2019-49-4-1207

Abstract

We introduce $k$-restricted overpartitions, which are generalizations of overpartitions. In such partitions, among those parts of the same magnitude, one of the first $k$ occurrences may be overlined. We first give the generating function and establish the $5$-dissections of $k$-restricted overpartitions. Then we provide a combinatorial interpretation for certain Ramanujan type congruences modulo $5$. Finally, we pose some problems for future work.

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Uha Isnaini. "On $k$-restricted overpartitions." Rocky Mountain J. Math. 49 (4) 1207 - 1221, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1207

Information

Published: 2019
First available in Project Euclid: 29 August 2019

zbMATH: 07104714
MathSciNet: MR3998918
Digital Object Identifier: 10.1216/RMJ-2019-49-4-1207

Subjects:
Primary: 11P83
Secondary: 05A17

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 4 • 2019
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