S. Bettin

activity

20112025

most citedPeriod functions and cotangent sums

49 citations · 178 across the 28 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

Ranks of elliptic curves over $Q (T)$ of small degree in $T$

Francesco Battistoni, Sandro Bettin, Christophe Delaunay

We study elliptic surfaces over $Q (T)$ with coefficients of a Weierstrass model being polynomials in $Q [T]$ with degree at most 2. We derive an explicit expressio…

math.NT2021

On the typical rank of elliptic curves over $Q (T)$

Francesco Battistoni, Sandro Bettin, Christophe Delaunay

We give upper bounds for the number of rational elliptic surfaces in some families having positive rank, obtaining in particular that these form a subset of density zero. This conf…

Ranks of elliptic curves over Q(T) of small degree in T

On the typical rank of elliptic curves over Q(T)

Ranks of elliptic curves over $Q (T)$ of small degree in $T$

On the typical rank of elliptic curves over $Q (T)$