B. Naskrȩcki

activity

20092026

most citedMordell-Weil ranks of families of elliptic curves associated to Pythagorean triples

9 citations · 37 across the 17 of their papers we have counts for

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Showing 2016 · math.NTShow all

3 papers · 2 filters

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…