Parity results for 11-, 13- and 17-regular partitions
Volume 151 / 2018
Colloquium Mathematicum 151 (2018), 97-109
MSC: Primary 11P83; Secondary 05A17.
DOI: 10.4064/cm6858-7-2016
Published online: 6 November 2017
Abstract
Recently, some parity results for $l$-regular partitions have been established, where $l\in \{2, 3, 4, 5, 7, 8, 9, 13, 16, 23\}$. In this paper, we prove many new parity results for 11-, 13- and 17-regular partitions. In particular, we obtain several infinite families of congruences modulo 2 for 17-regular partitions.
