Abstract
Given an elliptic curve C, we study here the number N k = #C(F q k) of points of C over the finite field F q k. We obtain two combinatorial formulas for N k. In particular we prove that N k = -W k(q,t)
| Original language | English (US) |
|---|---|
| Title of host publication | FPSAC 2006 - Proceedings |
| Subtitle of host publication | 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics |
| Pages | 233-242 |
| Number of pages | 10 |
| State | Published - Dec 1 2006 |
| Event | 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States Duration: Jun 19 2006 → Jun 23 2006 |
Other
| Other | 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 |
|---|---|
| Country/Territory | United States |
| City | San Diego, CA |
| Period | 6/19/06 → 6/23/06 |
Keywords
- Elliptic curves
- Finite fields
- Lucas numbers
- Spanning trees
- Symmetric functions
- Zeta functions