New identities for the polarized partitions and partitions with $d$-distant parts

New identities for the polarized partitions and partitions with $d$-distant parts

In this paper we present a new class of integer partition identities. The number of partitions with d-distant parts can be represented as a sum of the number of partitions with 1-distant parts whose even parts are greater than twice the number of odd parts. We also provide a direct bijection between...

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Hauptverfasser: Martinjak, Ivica, Svrtan, Dragutin
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description In this paper we present a new class of integer partition identities. The number of partitions with d-distant parts can be represented as a sum of the number of partitions with 1-distant parts whose even parts are greater than twice the number of odd parts. We also provide a direct bijection between these classes of partitions.
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title New identities for the polarized partitions and partitions with $d$-distant parts
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