A four-parameter partition identity
نویسندگان
چکیده
منابع مشابه
A four-parameter partition identity
where Par denotes the set of all partitions, |λ| denotes the size (sum of the parts) of λ, θ(λ) denotes the number of odd parts in the partition λ, and θ(λ′) denotes the number of odd parts in the conjugate of λ. In this paper, we generalize this result and provide a bijective proof of our generalization. This provides a simple combinatorial proof of Andrews’ result. Other combinatorial proofs ...
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where Par denotes the set of all partitions, |λ| denotes the size (sum of the parts) of λ, θ(λ) denotes the number of odd parts in the partition λ, and θ(λ) denotes the number of odd parts in the conjugate of λ. A combinatorial proof of Andrews’ result was found by Sills in [2]. In this paper, we generalize this result and provide a combinatorial proof of our generalization. This gives a simple...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2006
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-006-0145-4