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 October 31, 2024)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
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
Download Paper
Keywords
Diophantine equations, arithmetic progressions, elliptic curves
Citation
Issues
If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.
Created July 23, 2012, Updated February 19, 2017