Institut de Mathématiques de Toulon

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20062022

most citedRelative entropies, suitable weak solutions, and weak strong uniqueness for the compressible Navier-Stokes system

253 citations

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math.NT2016

The $p$ -Adic Valuations of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin, Sangman Lee +1

We investigate the $p$ -adic valuation of Weil sums of the form $W_{F, d} (a) = \sum_{x \in F} ψ (x^{d} - a x)$ , where $F$ is a finite field of characteristic $p$ , $ψ$ is the canonical addi…

math.NT2012

On a conjecture of Helleseth

Yves Aubry, Philippe Langevin

We are concern about a conjecture proposed in the middle of the seventies by Hellesseth in the framework of maximal sequences and theirs cross-correlations. The conjecture claims t…

The p-Adic Valuations of Weil Sums of Binomials

On a conjecture of Helleseth

The $p$ -Adic Valuations of Weil Sums of Binomials