The minimal excludant in integer partitions

George E. Andrews, David Newman

Research output: Contribution to journalArticle

Abstract

The minimal excludant, or “mex” function, on a set S of positive integers is the least positive integer not in S. In this paper, the mex function is extended to integer partitionsgeneralizedbyconstrictingtheuniversalsetfromallpositiveintegerstothose in certain arithmetic progressions. There are numerous surprising partition identities connected with this restricted mex function. This paper provides an account of some of the most conspicuous cases.

Original languageEnglish (US)
Article number20.2.3
JournalJournal of Integer Sequences
Volume23
Issue number2
StatePublished - Jan 1 2020

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All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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