A short note on the overpartition function

Byungchan Kim

doi:10.1016/j.disc.2008.05.007

A short note on the overpartition function

Byungchan Kim

School of Natural Sciences

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

In this brief note, we give a combinatorial proof of a variation of Gauss's q-binomial theorem, and we determine arithmetic properties of the overpartition function modulo 8.

Original language	English
Pages (from-to)	2528-2532
Number of pages	5
Journal	Discrete Mathematics
Volume	309
Issue number	8
DOIs	https://doi.org/10.1016/j.disc.2008.05.007
State	Published - 28 Apr 2009

Keywords

Congruence relation
Overpartition
q-binomial theorem

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10.1016/j.disc.2008.05.007

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title = "A short note on the overpartition function",

abstract = "In this brief note, we give a combinatorial proof of a variation of Gauss's q-binomial theorem, and we determine arithmetic properties of the overpartition function modulo 8.",

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JO - Discrete Mathematics

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A short note on the overpartition function

Abstract

Keywords

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