É. Fouvry

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math.NT2020

On the $4$ -rank of class groups of Dirichlet biquadratic fields

Étienne Fouvry, Peter Koymans, Carlo Pagano

We show that for $100%$ of the odd, squarefree integers $n > 0$ the $4$ -rank of $Cl (Q (i, n))$ is equal to $ω_{3} (n) - 1$ , where $ω_{3}$ is the number of prime d…

math.NT2017

Representation of integers by cyclotomic binary forms

Etienne Fouvry, Claude Levesque, Michel Waldschmidt

The homogeneous form $Φ_{n} (X, Y)$ of degree $φ (n)$ which is associated with the cyclotomic polynomial $ϕ_{n} (X)$ is dubbed a {\it cyclotomic binary form}. A positive integer $m \geq 1$ i…

On the 4-rank of class groups of Dirichlet biquadratic fields

Representation of integers by cyclotomic binary forms

On the $4$ -rank of class groups of Dirichlet biquadratic fields