Rational sequences on different models of elliptic curves
Given a set S of elements in a number field k, we discuss the existence of planar algebraic curves over k which possess rational points whose x-coordinates are exactly the elements of S. If the size |S| of S is either 4,5, or 6, we exhibit infinite families of (twisted) Edwards curves and (general)...
| Permalink: | http://skupni.nsk.hr/Record/nsk.NSK01001075562/Details |
|---|---|
| Matična publikacija: |
Glasnik matematički (Online) 54 (2019), 1 ; str. 53-64 |
| Glavni autori: | Çelik, Gamze Savaş (Author), Sadek, Mohammad, Soydan, Gökhan |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.3336/gm.54.1.04 Glasnik matematički (Online) Hrčak |
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| 008 | 200928s2019 ci |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.3336/gm.54.1.04 | |
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| 042 | |a croatica | ||
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| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Çelik, Gamze Savaş |4 aut |9 HR-ZaNSK | |
| 245 | 1 | 0 | |a Rational sequences on different models of elliptic curves |h [Elektronička građa] / |c Gamze Savaş Çelik, Mohammad Sadek, Gökhan Soydan. |
| 504 | |a Bibliografija: 18 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a Given a set S of elements in a number field k, we discuss the existence of planar algebraic curves over k which possess rational points whose x-coordinates are exactly the elements of S. If the size |S| of S is either 4,5, or 6, we exhibit infinite families of (twisted) Edwards curves and (general) Huff curves for which the elements of S are realized as the x-coordinates of rational points on these curves. This generalizes earlier work on progressions of certain types on some algebraic curves. | ||
| 653 | 0 | |a Eliptičke krivulje |a Edwardsova krivulja |a Racionalna sekvenca | |
| 700 | 1 | |a Sadek, Mohammad |4 aut | |
| 700 | 1 | |a Soydan, Gökhan |4 aut |9 HR-ZaNSK | |
| 773 | 0 | |t Glasnik matematički (Online) |x 1846-7989 |g 54 (2019), 1 ; str. 53-64 |w nsk.(HR-ZaNSK)000659858 | |
| 981 | |b Be2019 |b B05/19 | ||
| 998 | |b tino2010 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3336/gm.54.1.04 |
| 856 | 4 | 0 | |u https://web.math.pmf.unizg.hr/glasnik/EasyTracker.php?id=54104 |y Glasnik matematički (Online) |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/220842 |y Hrčak |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |