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

Robson da Silva, James A. Sellers

Research output: Contribution to journalArticlepeer-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 pt,t(n). Among our results, we provide complete parity characterizations of p1,1(n) and p3,3(n).

Original languageEnglish (US)
Article number20.5.7
Pages (from-to)1-9
Number of pages9
JournalJournal of Integer Sequences
Volume23
Issue number5
StatePublished - 2020
Externally publishedYes

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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