A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
arXiv:2602.15232
Abstract
We give new proofs of MacMahon and Russell's modulo 6 identities using the method of weighted words. We also present a new refinement of MacMahon's identity, some related finite sum identities, and a companion partition theorem to sequence avoiding partitions theorem of the author and Andrews.
13 pages, 2 tables, Happy Birthday to K Alladi