| Author(s): |
Dustin Moody; |
| Title: |
Arithmetic Progressions on Edwards Curves |
| Published: |
February 08, 2011 |
| Abstract: |
We look at arithmetic progressions on elliptic curves known as Edwards curves. By an arithmetic progression on an elliptic curve, we mean that the x-coordinates of a sequence of rational points on the curve form an arithmetic progression. Previous work has found arithmetic progressions on Weierstrass curves, quartic curves, and genus 2 curves. We find an infinite number of Edwards curves with an arithmetic progression of length 9. |
| Citation: |
Journal of Integer Sequences |
| Volume: |
14 |
| Pages: |
4 pp. |
| Keywords: |
elliptic curves; arithmetic progressions; Edwards curves |
| Research Areas: |
Math, Computer Security |
| PDF version: |
 Click here to retrieve PDF version of paper (72KB) |
