22 citations · 62 across the 12 of their papers we have counts for
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math.NT2018★ 22 cited
An effective criterion for periodicity of l-adic continued fractions
Laura Capuano, Francesco Veneziano, Umberto Zannier
The theory of continued fractions has been generalized to l-adic numbers by several authors and presents many differences with respect to the real case. In the present paper we inv…
math.NT2018★ 8 cited
Unlikely Intersections in families of abelian varieties and the polynomial Pell equation
Fabrizio Barroero, Laura Capuano
Let S be a smooth irreducible curve defined over a number field k and consider an abelian scheme A over S and a curve C inside A, both defined over k. In previous works, we proved…