A Chinese Remainder Theorem for partitions

dc.contributor.author	Seethalakshmi, Kayanattath	en_US
dc.contributor.author	SPALLONE, STEVEN	en_US
dc.date.accessioned	2023-03-24T09:11:02Z
dc.date.available	2023-03-24T09:11:02Z
dc.date.issued	2023-02	en_US
dc.identifier.citation	Ramanujan Journal, 61, 989–1019.	en_US
dc.identifier.issn	1382-4090	en_US
dc.identifier.issn	1572-9303	en_US
dc.identifier.uri	https://doi.org/10.1007/s11139-023-00699-0	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7674
dc.description.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).	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	T-core partitions	en_US
dc.subject	Ehrhart’s theorem	en_US
dc.subject	Transportation polytopes	en_US
dc.subject	2023-MAR-WEEK3	en_US
dc.subject	TOC-MAR-2023	en_US
dc.subject	2023	en_US
dc.title	A Chinese Remainder Theorem for partitions	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Ramanujan Journal	en_US
dc.publication.originofpublisher	Foreign	en_US