arXiv Analytics

Sign in

arXiv:1508.07918 [math.CO]AbstractReferencesReviewsResources

Core partitions with distinct parts

Huan Xiong

Published 2015-08-31Version 1

In this paper we study $(t, t + 1)$-core partitions with distinct parts. We obtain results on the number, the largest size and the average size of such partitions, which verify a conjecture of Amdeberhan.

Comments: 8 pages
Categories: math.CO
Subjects: 05A17, 11P81
Related articles: Most relevant | Search more
arXiv:2110.15837 [math.CO] (Published 2021-10-29, updated 2022-01-18)
Self-conjugate $t$-core partitions and applications
arXiv:1410.2061 [math.CO] (Published 2014-10-08)
On the largest size of $(t,t+1,..., t+p)$-core partitions
arXiv:1803.01603 [math.CO] (Published 2018-03-05)
Core Partitions With d-Distinct Parts

Links

Toolbox