Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7674
Title: A Chinese Remainder Theorem for partitions
Authors: Seethalakshmi, Kayanattath
SPALLONE, STEVEN
Dept. of Mathematics
Keywords: T-core partitions
Ehrhart’s theorem
Transportation polytopes
2023-MAR-WEEK3
TOC-MAR-2023
2023
Issue Date: Feb-2023
Publisher: Springer Nature
Citation: Ramanujan Journal, 61, 989–1019.
Abstract: Let s, t be natural numbers and fix an s-core partition sigma and a t-core partition tau. Put d = gcd(s, t) and m = lcm(s, t), and write N-sigma,N-tau(k) for the number of m-core partitions of length no greater than k whose s-core is sigma and t-core is tau. We prove that for k large, N-sigma,N-tau (k) is a quasipolynomial of period m and degree 1/d (s - d)(t - d).
URI: https://doi.org/10.1007/s11139-023-00699-0
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7674
ISSN: 1382-4090
1572-9303
Appears in Collections:JOURNAL ARTICLES

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.