Parity considerations for the mex-related partition functions of andrews and newman

Robson da Silva; James A. Sellers

Parity considerations for the mex-related partition functions of andrews and newman

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

Abstract

In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studied, namely p_t,t(n). Among our results, we provide complete parity characterizations of p_1,1(n) and p_3,3(n).

Original language	English (US)
Article number	20.5.7
Pages (from-to)	1-9
Number of pages	9
Journal	Journal of Integer Sequences
Volume	23
Issue number	5
State	Published - 2020
Externally published	Yes

Bibliographical note

Funding Information:
The first author was supported by FAPESP (grant no.

Funding Information:
The first author was supported by FAPESP (grant no. 2019/14796-8).

Keywords

Mex-function
Parity
Partition

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title = "Parity considerations for the mex-related partition functions of andrews and newman",

abstract = "In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studied, namely pt,t(n). Among our results, we provide complete parity characterizations of p1,1(n) and p3,3(n).",

keywords = "Mex-function, Parity, Partition",

author = "{da Silva}, Robson and Sellers, {James A.}",

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KW - Partition

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