213 citations
- Centre National de la Recherche ScientifiqueFR334 papers
- Université de StrasbourgFR309 papers
- Institute of Rural Management AnandIN147 papers
- Institut national de recherche en sciences et technologies du numériqueFR23 papers
- Université de LorraineFR23 papers
- University of SannioIT21 papers
- Laboratoire de Mathématiques d'OrsayFR19 papers
- Institut Camille JordanFR18 papers
- Institut Universitaire de FranceFR16 papers
- Université Paris CitéFR16 papers
- Institut de Mathématiques de ToulouseFR15 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR14 papers
9 papers · 2 filters
Complete determination of the zeta function of the Hilbert scheme of points on a two-dimensional torus
Christian Kassel, Christophe Reutenauer
We compute the coefficients of the polynomials defined by the equation \begin{equation*} 1 + \sum_{n\geq 1} \, \frac{C_n(q)}{q^n} \, t^n = \prod_{i\geq 1}\, \frac{(1-t^i)^…
Hausdorff dimension and uniform exponents in dimension two
Yann Bugeaud, Yitwah Cheung, Nicolas Chevallier
In this paper we prove the Hausdorff dimension of the set of (nondegenerate) singular two-dimensional vectors with uniform exponent (1/2, 1) is 2(1 -- ) when …
Four-fold Massey products in Galois cohomology
Pierre Guillot, Jan Minac, Adam Topaz +1
In this paper, we develop a new necessary and sufficient condition for the vanishing of 4-Massey products of elements in the mod-2 Galois cohomology of a field. This new descriptio…
On the digital representation of integers with bounded prime factors
Yann Bugeaud
Let be an integer. Not much is known on the representation in base of prime numbers or of numbers whose prime factors belong to a given, finite set. Among other resul…
Absolute real root separation
Yann Bugeaud, Andrej Dujella, Tomislav Pejkovic +1
While the separation (the minimal nonzero distance) between roots of a polynomial is a classical topic, its absolute counterpart (the minimal nonzero distance between their absolut…
Functional relations of solutions of q-difference equations
Thomas Dreyfus, Charlotte Hardouin, Julien Roques
In this paper, we study the algebraic relations satisfied by the solutions of -difference equations and their transforms with respect to an auxiliary operator. Our main tool is…