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|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|
|Keywords:||elliptic curves, arithmetic progressions, Edwards curves|
|Research Areas:||Math, Computer Security|
|PDF version:||Click here to retrieve PDF version of paper (74KB)|