%0 Journal Article
%T Rational sequences on different models of elliptic curves
%A Sadek
%A Mohammad
%A Soydan
%A G£¿khan
%A £¿elik
%A Gamze Sava£¿
%J -
%D 2019
%R 10.3336/gm.54.1.04
%X Sa£¿etak 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
%K Elliptic curve
%K Edwards curve
%K Huff curve
%K rational sequence
%K rational point
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=322404