Moody, D.
(2012),
Arithmetic Progressions on Huff Curves, Annales Mathematicae et Informaticae, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=908329
(Accessed June 9, 2023)
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Arithmetic Progressions on Huff Curves
Published
Author(s)
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
Pub Type
Journals
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Keywords
Diophantine equations, arithmetic progressions, elliptic curves
Citation
Created July 23, 2012, Updated February 19, 2017