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

Published 16 Feb 2026 in math.CO and math.NT | (2602.15232v1)

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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