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Congruences involving F-partition functions

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.

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Autore principale: James Sellers
Natura: Artigo
Lingua:Inglês
Pubblicazione: Wiley 1994-01-01
Serie:International Journal of Mathematics and Mathematical Sciences
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Accesso online:http://dx.doi.org/10.1155/S0161171294000256
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