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|Title:||Arithmetic Progressions on Huff Curves|
|Published:||July 23, 2012|
|Abstract:||We look at arithmetic progressions on elliptic curves known as Huff curves. By an arithmetic progression on an elliptic curve, we mean that either the x or y-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, Edwards curves, and genus 2 curves. We find an infinite number of Huff curves with an arithmetic progression of length 9.|
|Citation:||Annales Mathematicae et Informaticae|
|Pages:||pp. 111 - 116|
|Keywords:||Diophantine equations, arithmetic progressions, elliptic curves|
|Research Areas:||Math, Computer Security|
|PDF version:||Click here to retrieve PDF version of paper (342KB)|