@article{article_259729, title={The part-frequency matrices of a partition}, journal={Journal of Algebra Combinatorics Discrete Structures and Applications}, volume={3}, pages={177–186}, year={2016}, DOI={10.13069/jacodesmath.41075}, author={Keith, William J.}, abstract={<p>A new combinatorial object is introduced, the part-frequency matrix sequence of a partition, which <br />is elementary to describe and is naturally motivated by Glaisher’s bijection. We prove results that <br />suggest surprising usefulness for such a simple tool, including the existence of a related statistic that <br />realizes every possible Ramanujan-type congruence for the partition function. To further exhibit its <br />research utility, we give an easy generalization of a theorem of Andrews, Dixit and Yee [1] on the mock <br />theta functions. Throughout, we state a number of observations and questions that can motivate an <br />array of investigations. </p>}, number={3}, publisher={iPeak Academy}