Core Partitions With d-Distinct Parts

Murat Sahin

Core Partitions With d-Distinct Parts

Combinatorics 2019-11-26 v1 Number Theory

Authors: Murat Sahin

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 the 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 $1 \le r \le d$ .

Keywords

partition theory

Cite

@article{arxiv.1803.01603,
  title  = {Core Partitions With d-Distinct Parts},
  author = {Murat Sahin},
  journal= {arXiv preprint arXiv:1803.01603},
  year   = {2019}
}

Comments

9 pages

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