Moody, D.
(2011),
Arithmetic Progressions on Edwards Curves, Journal of Integer Sequences, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=907596
(Accessed November 30, 2023)
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Arithmetic Progressions on Edwards Curves
Published
Author(s)
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
Pub Type
Journals
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Keywords
elliptic curves, arithmetic progressions, Edwards curves
Citation
Created February 8, 2011, Updated February 19, 2017