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arXiv · 2602.15232

A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities

Ali K. Uncu
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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.

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Ali K. Uncu. 2026-02-16. A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities. https://arxiv.org/abs/2602.15232

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