Core partitions with d-distinct parts

ŞAHİN M.

AUSTRALASIAN JOURNAL OF COMBINATORICS, vol.72, pp.19-28, 2018 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 72
  • Publication Date: 2018
  • Journal Name: AUSTRALASIAN JOURNAL OF COMBINATORICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.19-28
  • Ankara University Affiliated: No

Abstract

In this paper, we study (s, s + 1)-core partitions with d-distinct parts. We obtain results on the number and the largest size of such partitions, so we extend Xiong's paper in which results are obtained about (s, s + 1)-core partitions with distinct parts. Also we propose a conjecture about (s, s + r)-core partitions with d-distinct parts for 1 <= r <= d.