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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. |
| 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 |
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