C. Reutenauer

activity

20002023

most citedInvariants and Coinvariants of the Symmetric Group in Noncommuting Variables

59 citations · 217 across the 34 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.NT2016★ 9 cited

Complete determination of the zeta function of the Hilbert scheme of $n$ points on a two-dimensional torus

Christian Kassel, Christophe Reutenauer

We compute the coefficients of the polynomials $C_{n} (q)$ 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)^…

math.CO2016

Hall sets, Lazard sets and comma-free codes

Dominique Perrin, Christophe Reutenauer

We investigate the relationship between two constructions of maximal comma-free codes described respectively by Eastman and by Scholtz and the notions of Hall sets and Lazard sets…

math.NT2016★ 4 cited

The Fourier expansion of η(z)η(2z)η(3z)/η(6z)

Christian Kassel, Christophe Reutenauer

We compute the Fourier coefficients of the weight one modular form $η (z) η (2 z) η (3 z) / η (6 z)$ in terms of the number of representations of an integer as a sum of two squares. We deduce…

Complete determination of the zeta function of the Hilbert scheme of n points on a two-dimensional torus

Hall sets, Lazard sets and comma-free codes

The Fourier expansion of η(z)η(2z)η(3z)/η(6z)

Complete determination of the zeta function of the Hilbert scheme of $n$ points on a two-dimensional torus