Alain Kraus

activity

20162025

most citedLocal criteria for the unit equation and the asymptotic Fermat's Last Theorem

7 citations · 16 across the 8 of their papers we have counts for

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2 papers · 1 filter

math.NT2016★ 1 cited

On the symplectic type of isomorphims of the p-torsion of elliptic curves

Nuno Freitas, Alain Kraus

Let $p \geq 3$ be a prime. Let $E / Q$ and $E^{'} / Q$ be elliptic curves with isomorphic $p$ -torsion modules $E [p]$ and $E^{'} [p]$ . Assume further that either (i) every $G…

math.NT2016

An application of the symplectic argument to some Fermat-type Equations

Nuno Freitas, Alain Kraus

Let $p$ be a prime number. In the early 2000s, it was proved that the Fermat equations with coefficients \[3x^p + 8y^p + 21z^p =0\quad \text{ and } \quad 3x^p + 4y^p + 5z^p=0 \] do…