A Unification of Two Refinements of Euler's Partition Theorem

Mathematics – Combinatorics

Scientific paper

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14 pages, 3 figures, the last version, to appear in The Ramanujan Journal

Scientific paper

We obtain a unification of two refinements of Euler's partition theorem
respectively due to Bessenrodt and Glaisher. A specialization of Bessenrodt's
insertion algorithm for a generalization of the Andrews-Olsson partition
identity is used in our combinatorial construction.

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