5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.NT2013★ 5 cited
Integral Points on Elliptic Curves and the Bombieri-Pila Bounds
Dave Mendes da Costa
Let C be an affine, plane, algebraic curve of degree d with integer coefficients. In 1989, Bombieri and Pila showed that if one takes a box with sides of length N then C can obtain…
math.NT2012
On Ranks of Jacobian Varieties in Prime Degree Extensions
Dave Mendes da Costa
In Dokchitser (2007) it is shown that given an elliptic curve defined over a number field then there are infinitely many degree 3 extensions for which the rank of $E(…