TY - JOUR
T1 - Refined counting of core partitions into D-distinct parts
AU - Burson, Hannah E.
AU - Sisneros-Thiry, Simone
AU - Straub, Armin
N1 - Publisher Copyright:
© The authors.
PY - 2021
Y1 - 2021
N2 - Using a combinatorial bijection with certain abaci diagrams, Nath and Sellers have enumerated (s, ms ± 1)-core partitions into distinct parts. We generalize their result in several directions by including the number of parts of these partitions, by considering d-distinct partitions, and by allowing more general (s, ms ± r)-core partitions. As an application of our approach, we obtain the average and maximum number of parts of these core partitions.
AB - Using a combinatorial bijection with certain abaci diagrams, Nath and Sellers have enumerated (s, ms ± 1)-core partitions into distinct parts. We generalize their result in several directions by including the number of parts of these partitions, by considering d-distinct partitions, and by allowing more general (s, ms ± r)-core partitions. As an application of our approach, we obtain the average and maximum number of parts of these core partitions.
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U2 - 10.37236/9665
DO - 10.37236/9665
M3 - Article
AN - SCOPUS:85100537132
SN - 1077-8926
VL - 28
SP - 1
EP - 21
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
IS - 1
M1 - P1.37
ER -