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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2958| Title: | A Chinese Remainder Theorem for Partitions |
| Authors: | Prasad, Amritanshu KAYANATTATH, SEETHALAKSHMI Dept. of Mathematics 20141017 |
| Keywords: | 2019 Partitions Young diagram Core Transportation polytope Ehrhart's theorem |
| Issue Date: | Apr-2019 |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2958 |
| Appears in Collections: | MS THESES |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Thesis_20141017.pdf | MS Thesis | 616.31 kB | Adobe PDF | View/Open |
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