On the largest sizes of certain simultaneous core partitions with distinct parts-Reference-Cited by-同舟云学术

On the largest sizes of certain simultaneous core partitions with distinct parts

Published:2018-06 Issue: Volume:71 Page:33-42
ISSN:0195-6698
Container-title:European Journal of Combinatorics
language:en
Short-container-title:European Journal of Combinatorics

Author:

Xiong Huan

Funder

Swiss National Science Foundation

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics

Reference27 articles.

1. T. Amdeberhan, Theorems, problems and conjectures, available at: http://129.81.170.14/~tamdeberhan/conjectures.pdf.

2. Multi-cores, posets, and lattice paths;Amdeberhan;Adv. Appl. Math.,2015

3. Partitions which are simultaneously t1-and t2-core;Anderson;Discrete Math.,2002

4. Results and conjectures on simultaneous core partitions;Armstrong;European J. Combin.,2014

5. J. Baek, H. Nam, M. Yu, A bijective proof of Amdeberhan’s conjecture on the number of (s,s+2)-core partitions with distinct parts, preprint; arXiv:1705.02691v2.

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1. Proof of a Conjecture of Nath and Sellers on Simultaneous Core Partitions;The Electronic Journal of Combinatorics;2024-04-05

2. On the largest sizes of $$(s,qs\pm 1)$$-core partitions with parts of the same parity;The Ramanujan Journal;2023-01-30

3. Sizes of simultaneous core partitions;Journal of Combinatorial Theory, Series A;2022-01

4. Refined Counting of Core Partitions into $d$-Distinct Parts;The Electronic Journal of Combinatorics;2021-02-12

5. The largest size of an (s,s + 1)-core partition with parts of the same parity;International Journal of Number Theory;2020-09-30