16 citations · 43 across the 47 of their papers we have counts for
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Generic numerical semigroups
Roland Bacher
The use of compositions simplifies some aspects of the theory of numerical semigroups. We illustrate this by giving a new proof for the asymptotic number C((1 + $\sqrt$ 5)/2) g of…
Weyl-Mahonian Statistics for Weighted Flags of Type A-D
Roland Bacher
We relate properties of weighted flags (or multiflags) of type AD to statistics of the corresponding Weyl groups. For type A, we recover the Mahonian statistics on symmetric groups…
An easy upper bound for Ramsey numbers
Roland Bacher
It is observed that the conjugacy growth series of the infinite finitary symmetric group with respect to the generating set of transpositions is the generating series of the partit…
Number of right ideals and a -analogue of indecomposable permutations
Roland Bacher, Christophe Reutenauer
We prove that the number of right ideals of codimension in the algebra of noncommutative Laurent polynomials in two variables over the finite field is equal to $…
Chebyshev polynomials, quadratic surds and a variation of Pascal's triangle
Roland Bacher
Using Chebyshev polynomialsof both kinds, we construct rational fractions which are convergents of the smallest root of for .Some of the underlying identi…
The Ring of Support-Classes of
Roland Bacher
We introduce and study a subring of obtained by summing elements of according to their suppo…