Unlimited parity alternating partitions

2018/03/02 by Chern, Shane
#05A17 #11P82 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.01031

Abstract

We introduce a new type of partitions that consists of partitions whose different parts alternate in parity (e.g., 3+2+2+1+1). Various properties of this partition function are studied. In particular, we obtain its asymptotic behavior by employing Ingham's Tauberian theorem.

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