A Chinese Remainder Theorem for Partitions

dc.contributor.advisor	Prasad, Amritanshu	en_US
dc.contributor.author	KAYANATTATH, SEETHALAKSHMI	en_US
dc.date.accessioned	2019-05-13T03:16:35Z
dc.date.available	2019-05-13T03:16:35Z
dc.date.issued	2019-04	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2958
dc.description.abstract	Given natural numbers s, t such that gcd(s, t) = d, lcm(s, t) = m, an s-core σ, and a t-core τ , we write N_{σ, τ}(k) for the number of m-cores of length no greater than k whose s-core is σ and t-core is τ. In this thesis, we prove that, for k >> 0, N_{σ, τ}(k) is a quasi-polynomial of quasi-period m and degree (s-d)(t-d)/d.	en_US
dc.language.iso	en	en_US
dc.subject	2019
dc.subject	Partitions	en_US
dc.subject	Young diagram	en_US
dc.subject	Core	en_US
dc.subject	Transportation polytope	en_US
dc.subject	Ehrhart's theorem	en_US
dc.title	A Chinese Remainder Theorem for Partitions	en_US
dc.type	Thesis	en_US
dc.type.degree	BS-MS	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.contributor.registration	20141017	en_US

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Description: MS Thesis

MS THESES [1705]
Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme