CONGRUENCES INVOLVING F-PARTITION FUNCTIONS

JAMES SELLERS

《International Journal of Mathematics and Mathematical Sciences》 1994卷 (1994/12) Pp. 187-188

https://doi.org/10.1155/S0161171294000256

摘要

The primary goal of this note is to prove the congruence φ_3 (3n + 2) ≡0 (mod 3), whereφ_3 (n) denotes the number of F-partitions of n with at most 3 repetitions. Secondarily, we conjecture a new family of congruences involving cφ_2 (n), the number of F-partitions of n with 2 colors.

關鍵字

Congruence ； partitions