Partitions with distinct evens

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations

Abstract

Partitions with no repeated even parts (DE-partitions) are considered. A DE-rank for DE-partitions is defined to be the integer part of half the largest part minus the number of even parts. Δ(n) denotes the excess of the number of DE-partitions with even DE-rank over those with odd DE-rank. Surprisingly Δ(n) is (1) always non-negative, (2) almost always zero, and (3) assumes every positive integer value infinitely often. The main results follow from the work of Corson, Favero, Liesinger and Zubairy. Companion theorems for DE-partitions counted by exceptional parts conclude the paper.

Original languageEnglish (US)
Title of host publicationAdvances in Combinatorial Mathematics
Subtitle of host publicationProceedings of the Waterloo Workshop in Computer Algebra 2008
PublisherSpringer Berlin Heidelberg
Pages31-37
Number of pages7
ISBN (Print)9783642035616
DOIs
StatePublished - Dec 1 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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