2 citations · 4 across the 10 of their papers we have counts for
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math.CO2004★ 1 cited
On generating series of complementary planar trees
Roland Bacher
We generalize and reprove an identity of Parker and Loday. It states that certain pairs of generating series associated to pairs of labelled rooted planar trees are mutually invers…
math.NT2004
On Minkowksi's bound for lattice-packings
Roland Bacher
We give a new proof of the Minkowski-Hlawka bound on the existence of dense lattices. The proof is based on an elementary method for constructing dense lattices which is almost eff…
math.CO2004
Paperfolding and Catalan numbers
Roland Bacher
We reprove a few results concerning paperfolding sequences using properties of Catalan numbers modulo 2.