Michel Waldschmidt

collaborators

2 papers

math.NT2025

Number of integers represented by families of binary forms III: fewnomials

Etienne Fouvry, Michel Waldschmidt

In a series of papers we investigated the following question: given a family $\calF$ of binary forms having nonzero discriminant and integer coefficients, for each $d ⩾ 3$ ,…

math.NT2023

Number of integers represented by families of binary forms II: binomial forms

Étienne Fouvry, Michel Waldschmidt

We consider some families of binary binomial forms $a X^{d} + b Y^{d}$ , with $a$ and $b$ integers. Under suitable assumptions, we prove that every rational integer $m$ with $∣ m ∣ \geq 2$ is o…