Autors: Stoenchev, M. R., S. R. Apostolov., V Todorov.
Title: One parameter family of elliptic curves and the equation x^4+y^4+kx^2y^2=z^2
Keywords: Elliptic curves, diophantine equations, Mordell-Weil group

Abstract: We consider the diophantine equation x^4+y^4+kx^2y^2=z^2, where k∈Z is a parameter. Our aim is to determine for which integers k the equation has a solution in positive integers (x, y, z) and to describe parametrically all nontrivial solutions.



    Studies in Computational Intelligence, vol. 961, pp. 26-36, 2018, Germany, Springer,

    Вид: пленарен доклад в международен форум, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science