Philippe Langevin

activity

20122023

collaborators

Showing 2014Show all

2 papers · 1 filter

math.NT2014

New Open Problems Related to Old Conjectures by Helleseth

Daniel J. Katz, Philippe Langevin

Recently, very interesting results have been obtained concerning the Fourier spectra of power permutations over a finite field. In this note we survey the recent ideas of Aubry, Fe…

math.NT2014

Proof of a Conjectured Three-Valued Family of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin

We consider Weil sums of binomials of the form $W_{F, d} (a) = \sum_{x \in F} ψ (x^{d} - a x)$ , where $F$ is a finite field, $ψ : F \to C$ is the canonical additive character,…