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arXiv:1803.01603 [math.CO]AbstractReferencesReviewsResources

Core Partitions With d-Distinct Parts

Murat Sahin

Published 2018-03-05Version 1

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 $1 \le r \le d$.

Comments: 9 pages
Categories: math.CO, math.NT
Subjects: 11P81, 05A17
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