688 citations
- Centre National de la Recherche ScientifiqueFR398 papers
- Laboratoire de Mathématiques Nicolas OresmeFR124 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR122 papers
- Université Savoie Mont BlancFR113 papers
- Laboratoire de Mathématiques et Modélisation d'ÉvryFR98 papers
- Université Blaise PascalFR96 papers
- Université Clermont AuvergneFR96 papers
- Laboratoire de Mathématiques de VersaillesFR76 papers
- Laboratoire de Mathématiques de ReimsFR58 papers
- Université Paris CitéFR53 papers
- Université Paris-SaclayFR52 papers
- Laboratoire de Mathématiques d'OrsayFR51 papers
4 papers · 2 filters
A quasi-linear irreducibility test in K[[x]][y]
Adrien Poteaux, Martin Weimann
We provide an irreducibility test in the ring K[[x]][y] whose complexity is quasi-linear with respect to the discriminant valuation, assuming the input polynomial F square-free and…
A proof of the Conjecture of Lehmer
Jean-Louis Verger-Gaugry
The Conjecture of Lehmer is proved to be true. The proof mainly relies upon: (i) the properties of the Parry Upper functions $f_{\houseα}(z)$ associated with the dynamical zeta fun…
Le problème inverse de Galois sur les corps des fractions tordus à indéterminée centrale
Bruno Deschamps, François Legrand
In this article, we show that the Inverse Galois Problem over a skew field of finite dimension over its center is equivalent to a variant of the Inverse Galois Problem over…
On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials
Denys Dutykh, Jean-Louis Verger-Gaugry
The class B of lacunary polynomials f(x) := -1 + x + x^n + x^{m_1} + x^{m_2} + ... + x^{m_s}, where s >= 0, m_1 - n >= n - 1, m_{q+1} - m_{q} >= n - 1 for 1 <= q < s, n >= 3 is stu…