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Congruences for 3-core cubic partitions

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Author(s):
da Silva, Robson ; Sellers, James A.
Total Authors: 2
Document type: Journal article
Source: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS; v. N/A, p. 17-pg., 2022-05-13.
Abstract

In this paper, our goal is to significantly extend the list of proven arithmetic properties satisfied by the function that enumerates cubic partitions which are also 3-cores, namely C-3(n), which was studied extensively by Gireesh in 2017. Our proof techniques are elementary, including classical generating function manipulations and dissections. (AU)

FAPESP's process: 19/14796-8 - Arithmetic properties of partition functions
Grantee:Robson Oliveira da Silva
Support Opportunities: Regular Research Grants