Congruences involving generalized Frobenius partitions
type: Item
instance of: scholarly article
title: Congruences involving generalized Frobenius partitions
zbMATH Open document ID: 0778.11056
DOI: 10.1155/S0161171293000523
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1994-01-06T00:00:00Z
full work available at URL: https://eudml.org/doc/46885
review text: The main result of this paper is a congruence involving the function \(\overline{c\varphi_m}(n)\) which denotes the number of generalized Frobenius partitions of \(n\) with \(m\) colors whose order is \(m\) under cyclic permutations of the \(m\) colors. L. W. Kolitsch has proved that for \(m\geq 2\) and all \(n\geq 1\), \(\overline{c\varphi_ m}(n)\equiv 0\pmod{m^2}\). The following is proved: For \(m=5, 7\) and \(11\) and for all \(n\geq 1\), \(\overline{c\varphi_ m}(n) \equiv 0\pmod{m^3}\).
Mathematics Subject Classification ID: 11P83
Mathematics Subject Classification ID: 05A17
zbMATH DE Number: 179263
zbMATH Keywords: congruence
zbMATH Keywords: generalized Frobenius partitions
author: James A. Sellers
MaRDI profile type: Publication
OpenAlex ID: W2117841212
description: scientific article; zbMATH DE number 179263