International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1994 / Article

Open Access

Volume 17 |Article ID 946459 | https://doi.org/10.1155/S0161171294000256

James Sellers, "Congruences involving F-partition functions", International Journal of Mathematics and Mathematical Sciences, vol. 17, Article ID 946459, 2 pages, 1994. https://doi.org/10.1155/S0161171294000256

Congruences involving F-partition functions

Received10 Aug 1992

Abstract

The primary goal of this note is to prove the congruence ϕ3(3n+2)0(mod3), where ϕ3(n) denotes the number of F-partitions of n with at most 3 repetitions. Secondarily, we conjecture a new family of congruences involving cϕ2(n), the number of F-partitions of n with 2 colors.

Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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