## Rational sequences on different models of elliptic curvesÇelik, Gamze Savaş and Sadek, Mohammad and Soydan, Gökhan (2019)
Official URL: http://dx.doi.org/10.3336/gm.54.1.04 ## AbstractGiven 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 vertical bar S vertical bar 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.
Repository Staff Only: item control page |