Some Congruence Properties of a Restricted Bipartition Function

Nipen Saikia and Chayanika Boruah

International Journal of Analysis, 2016, vol. 2016, 1-7

Abstract:

Let denote the number of bipartitions of a positive integer subject to the restriction that each part of is divisible by . In this paper, we prove some congruence properties of the function for , 11, and , for any integer , by employing Ramanujan’s theta-function identities.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:9037692

DOI: 10.1155/2016/9037692

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