Counting rational points on smooth cubic curves
Artikel i vetenskaplig tidskrift, 2018

We use a global version of Heath-Brown's p-adic determinant method developed by Salberger to give upper bounds for the number of rational points of height at most B on non-singular cubic curves defined over Q. The bounds are uniform in the sense that they only depend on the rank of the corresponding Jacobian.

Elliptic curves

Diophantine equation.


Manh Hung Tran

Göteborgs universitet


Journal of Number Theory

0022-314X (ISSN) 1096-1658 (eISSN)