Bartosz Naskręcki

most citedDistribution of Mordell--Weil ranks of families of elliptic curves

3 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2016★ 3 cited

Divisibility sequences of polynomials and heights estimates

Bartosz Naskręcki

In this note we compute a constant $N$ that bounds the number of non--primitive divisors in elliptic divisibility sequences over function fields of any characteristic. We improve a…

math.NT2016★ 3 cited

Distribution of Mordell--Weil ranks of families of elliptic curves

Bartosz Naskręcki

We discuss the distribution of Mordell--Weil ranks of the family of elliptic curves $y^{2} = (x + α f^{2}) (x + β b g^{2}) (x + γ h^{2})$ where $f, g, h$ are coprime polynomials that parametrize the proj…

math.NT2016★ 1 cited

Mordell-Weil ranks of families of elliptic curves parametrized by binary quadratic forms

Bartosz Naskręcki

We prove results on the Mordell--Weil rank of elliptic curves $y^{2} = x (x - α a^{2}) (x - β b^{2})$ parametrized by binary quadratic forms $α a^{2} + β b^{2} = γ c^{2}$ . We express our explicit lower bounds…