R. Bacher

activity

20012022

most citedHooks and powers of parts in partitions

16 citations · 43 across the 47 of their papers we have counts for

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math.CO2015

Number of right ideals and a $q$ -analogue of indecomposable permutations

Roland Bacher, Christophe Reutenauer

We prove that the number of right ideals of codimension $n$ in the algebra of noncommutative Laurent polynomials in two variables over the finite field $F_q$ is equal to $…

math.CO2015

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 $x^{2} - α x + 1$ for $α = 3, 4, 5, \dots$ .Some of the underlying identi…

math.CO2015

The Ring of Support-Classes of $SL_2 (F_q)$

Roland Bacher

We introduce and study a subring $SC$ of $Z [SL_2 (F_q)]$ obtained by summing elements of $SL_2 (F_q)$ according to their suppo…

Number of right ideals and a q-analogue of indecomposable permutations

Chebyshev polynomials, quadratic surds and a variation of Pascal's triangle

The Ring of Support-Classes of SL_2(F_q)

Number of right ideals and a $q$ -analogue of indecomposable permutations

The Ring of Support-Classes of $SL_2 (F_q)$