Binomial Coefficients and Quadratic Fields
| dc.creator | Sun, Zhi-Wei | |
| dc.date | 2004-01-19 | |
| dc.date | 2005-03-06 | |
| dc.date.accessioned | 2026-07-07T05:04:39Z | |
| dc.date.available | 2026-07-07T05:04:39Z | |
| dc.description | Let E be a real quadratic field with discriminant d and let p be an odd prime not dividing d. For ρ=1 or -1, we determine $\prod_{0<c<d, (d/c)=ρ} binomial coeff.{p-1}{\lfloor pc/d\rfloor}$ modulo p^2 in terms of Lucas numbers, the fundamental unit and the class number of E, where (d/c) is the Kronecker symbol. | |
| dc.description | 10 pages; final version, accepted by Proc. AMS | |
| dc.identifier | https://arxiv.org/abs/math/0401228 | |
| dc.identifier | http://arxiv.org/abs/math/0401228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69888 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11B65; 11B37; 11B68; 11R11 | |
| dc.title | Binomial Coefficients and Quadratic Fields | |
| dc.type | text |