On the polynomiality and asymptotics of moments of sizes for random (n, dn ± 1)-core partitions with distinct parts
Sign Up to like & getrecommendations! Published in 2019 at "Science China Mathematics"
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
New relations for the number of partitions with distinct even parts
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DOI: 10.1016/j.jnt.2016.12.015
Abstract: Abstract The number of partitions of n wherein even parts are distinct and odd parts are unrestricted, often denoted by p e d ( n ) , has been the subject of many recent studies.… read more here.
Keywords: partitions distinct; number partitions; number; even parts ... See more keywords