Moody, Dustin (2011) Arithmetic progressions on Huff curves Annales Mathematicae et Informaticae. 38. pp. 111-116. ISSN 1787-5021 (Print), 1787-6117 (Online)
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Absztrakt (kivonat)
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.
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Kulcsszavak: | Diophantine equations, arithmetic progressions, elliptic curves | ||||||||
Nyelv: | angol | ||||||||
Kötetszám: | 38. | ||||||||
ISSN: | 1787-5021 (Print), 1787-6117 (Online) | ||||||||
Felhasználó: | Tibor Gál | ||||||||
Dátum: | 08 Már 2019 16:41 | ||||||||
Utolsó módosítás: | 08 Már 2019 16:41 | ||||||||
URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/3244 |
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