2-adic behavior of numbers of domino tilings
| dc.creator | Cohn, Henry | |
| dc.date | 2000-08-30 | |
| dc.date.accessioned | 2026-07-07T04:37:02Z | |
| dc.date.available | 2026-07-07T04:37:02Z | |
| dc.description | We study the 2-adic behavior of the number of domino tilings of a 2n-by-2n square as nvaries. It was previously known that this number was of the form 2^n f(n)^2, where f(n) is an odd, positive integer. We show that the function f is uniformly continuous under the 2-adic metric, and thus extends to a function on all of Z. The extension satisfies the functional equation f(-1-n) = +- f(n), where +- sign is + if n is congruent to 0 or 3 modulo 4 and - otherwise. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0008222 | |
| dc.identifier | http://arxiv.org/abs/math/0008222 | |
| dc.identifier | Electronic Journal of Combinatorics 6 (1999), #R14 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59816 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A15, 11A07 | |
| dc.title | 2-adic behavior of numbers of domino tilings | |
| dc.type | text |