Let k≥1 be an integer and pedk(n) be the number of k-tuple partitions of n wherein even parts are distinct (and odd parts are unrestricted). We prove a class of congruences for pedk(n) mod 2 by Hecke nilpotency. © 2013 Elsevier B.V. All rights reserved.
Chen, S. C. (2013). Congruences for the number of k-tuple partitions with distinct even parts. Discrete Mathematics, 313(15), 1565–1568. https://doi.org/10.1016/j.disc.2013.04.004