New infinite families of congruences modulo 8 for partitions with even parts distinct

作者：Xia Ernest X W^*

来源：Electronic Journal of Combinatorics, 2014, 21(4): P4.8.

DOI：10.37236/4036

• partition
• congruence
• regular partition

Let ped(n) denote the number of partitions of an integer n wherein even parts are distinct. Recently, Andrews, Hirschhorn and Sellers, Chen, and Cui and Gu have derived a number of interesting congruences modulo 2, 3 and 4 for ped(n). In this paper we prove several new infinite families of congruences modulo 8 for ped(n). For example, we prove that for alpha >= 0 and n >= 0, ped (3(4 alpha+4)n + 11 x 3(4 alpha+3) - 1/8) equivalent to 0 (mod 8).

• 出版日期2014-10-9
• 单位江苏大学