Partitions with Parts Separated by Parity

George E. Andrews

doi:10.1007/s00026-019-00428-9

Partitions with Parts Separated by Parity

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

There have been a number of papers on partitions in which the parity of parts plays a central role. In this paper, the parts of partitions are separated by parity, either all odd parts are smaller than all even parts or vice versa. This concept first arose in a study related to the third-order mock theta function ν(q). The current study also leads back to one of the Ramanujan’s more mysterious functions.

Original language	English (US)
Pages (from-to)	241-248
Number of pages	8
Journal	Annals of Combinatorics
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s00026-019-00428-9
State	Published - Jun 1 2019

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1007/s00026-019-00428-9

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AB - There have been a number of papers on partitions in which the parity of parts plays a central role. In this paper, the parts of partitions are separated by parity, either all odd parts are smaller than all even parts or vice versa. This concept first arose in a study related to the third-order mock theta function ν(q). The current study also leads back to one of the Ramanujan’s more mysterious functions.

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Partitions with Parts Separated by Parity

Abstract

All Science Journal Classification (ASJC) codes

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