Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896875 | Journal of Number Theory | 2018 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Manh Hung Tran,