Publication Citation
NIST Authors in Bold
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| Author(s): | Moody, D.; |
|---|---|
| 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 |
| Volume: | 38 |
| Pages: | pp. 111 - 116 |
| Keywords: | Diophantine equations; arithmetic progressions; elliptic curves |
| Research Areas: | Math |
| PDF version: |  Click here to retrieve PDF version of paper (467 K) |