Partitions and Overpartitions with Attached Parts
نویسنده
چکیده
We show how to interpret a certain q-series as a generating function for overpartitions with attached parts. A number of families of partition theorems follow as corollaries.
منابع مشابه
Overpartition Theorems of the Rogers-ramanujan Type
We give one-parameter overpartition-theoretic analogues of two classical families of partition identities: Andrews’ combinatorial generalization of the Gollnitz-Gordon identities and a theorem of Andrews and Santos on partitions with attached odd parts. We also discuss geometric counterparts arising from multiple q-series identities. These involve representations of overpartitions in terms of g...
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تاریخ انتشار 2007