16 citations · 43 across the 47 of their papers we have counts for
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Fair Triangulations
Roland Bacher
We describe the statistics of checkerboard triangulations obtained by colouring black every other triangle in triangulations of convex polygons.
Determinants related to Dirichlet characters modulo 2, 4 and 8 of binomial coefficients and the algebra of recurrence matrices
Roland Bacher
Using recurrence matrices, defined and described with some details, we study a few determinants related to evaluations of binomial coefficients on Dirichlet characters modulo 2, 4…
Arithmetic properties related to the shuffle-product
Roland Bacher
Properties of the shuffle product suggest the definition of a quadratic form with domain and values in formal power series over a field of characteristic 2. This quadratic form pre…
and a Subset of Words over
Roland Bacher
This paper studies a subset of the free semi-group with letters in a field which has some interesting arithmetic and combinatorial properties.