Overpartitions with separated overlined parts and non-overlined parts

2024/12/22 by Chen, Y. H., He, Thomas Y., Hu, Y. +1 · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.16941

Abstract

Recently, Andrews considered the partitions with parts separated by parity, in which parts of a given parity are all smaller than those of the other parity. Inspired from the partitions with parts separated by parity, we investigate the overpartitions with separated overlined parts and non-overlined parts, in which the sizes of overlined parts (resp. non-overlined parts) are greater than or equal to those of non-overlined parts (resp. overlined parts).

Cited by

• Separable integer partition classes with restrictions on consecutive parts

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