Modulo 2 congruences for partitions with initial repetitions
Number Theory
2023-06-13 v2
Abstract
Motivated by Andrews' partitions with initial repetitions, we derive parity formulas for several functions for this class of partitions. In many cases, we present an infinite family of Ramanujan-like congruences modulo 2.
Cite
@article{arxiv.2212.12705,
title = {Modulo 2 congruences for partitions with initial repetitions},
author = {Darlison Nyirenda and Beaullah Mugwangwavari},
journal= {arXiv preprint arXiv:2212.12705},
year = {2023}
}