Fe b 20 09 A Unification of Two Refinements of Euler ’ s Partition Theorem
نویسندگان
چکیده
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.
منابع مشابه
A Unification of Two Refinements of Euler ’ s Partition Theorem
The main result of this paper is a bijection between partitions with odd parts and partitions with distinct parts, which serves as a unification of two refinements of Euler’s theorem respectively due to Bessenrodt and Glaisher. Our construction can be viewed as a variant of Bessenrodt’s insertion algorithm as a combinatorial interpretation of a refinement of Andrews-Olsson’s theorem.
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