Institut de Recherche Dupuy de Lôme

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20042025

most citedOn the dynamics of a collapsing bubble in contact with a rigid wall

44 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.NTShow all

7 papers · 1 filter

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…

math.NT2012

Remarques élémentaires sur la fonction de Möbius

Michel Balazard

We use Möbius inversion and the Bernoulli polynomials to prove inequalities between the logarithmic summatory function of the Möbius function and weighted averages of its ordinary…

math.NT2009

Zéros des fonctions L et formes toroïdales

Gilles Lachaud

An algebraic number field $K$ defines a maximal torus $T$ of the linear group $G = G L_{n}$ . Let $χ$ be a character of the idele class group of $K$ , satisfying suitable assumptions.…

math.NT2009

Sur l'infimum des parties réelles des zéros des sommes partielles de la fonction zêta de Riemann

Michel Balazard, Oswaldo Velásquez Castañón

The greatest lower bound of the real parts of the roots of a partial sum of the Dirichlet series of Riemann's zeta function is asymptotically equivalent to the opposite of the numb…

math.NT2008★ 11 cited

Notes de lecture de l'article "Partial sums of the Möbius function" de Kannan Soundararajan

Michel Balazard, Anne De Roton

Kannan Soundararajan recently obtained a new estimate, conditional to the Riemann hypothesis, for the summatory function of the Mobius function. In this expository article we descr…

math.NT2007

Nonlinarity of Boolean functions and hyperelliptic curves

Eric Férard, François Rodier

We study the nonlinearity of functions defined on a finite field with 2^m elements which are the trace of a polynomial of degree 7 or more general polynomials. We show that for m o…

math.NT2006

Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2

Enric Nart, Christophe Ritzenthaler

We exhibit the isogeny classes of supersingular abelian threefolds over F_{2^n} containing the Jacobian of a genus 3 curve. In particular, we prove that for even n>6 there always e…