A unification of two refinements of Euler’s partition theorem

Author： Chen William   Gao Henry   Ji Kathy   Li Martin  

Publisher： Springer Publishing Company

ISSN： 1382-4090

Source： The Ramanujan Journal, Vol.23, Iss.1-3, 2010-12, pp. : 137-149

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Abstract

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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