On the polynomiality and asymptotics of moments of sizes for random (n, dn ± 1)-core partitions with distinct parts
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DOI: 10.1007/s11425-018-9500-x
Abstract: Amdeberhan’s conjectures on the enumeration, the average size, and the largest size of ( n,n +1)-core partitions with distinct parts have motivated many research on this topic. Recently, Straub (2016) and Nath and Sellers (2017)… read more here.
Keywords: core partitions; partitions distinct; distinct parts; random core ... See more keywords
Overpartitions into distinct parts without short sequences
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DOI: 10.1016/j.jnt.2016.11.013
Abstract: Abstract In the first part of this paper we introduce overpartitions into distinct parts without k-sequences. When k = 1 these are the partitions into parts differing by at least two which occur in the… read more here.
Keywords: distinct parts; overpartitions distinct; short sequences; parts without ... See more keywords