1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NT2018
Slopes of Euclidean lattices, tensor product and group actions
Renaud Coulangeon, Gabriele Nebe
We study the behaviour of the minimal slope of Euclidean lattices under tensor product. A general conjecture predicts that for all Euc…
math.NT2013
Perfect Lattices over Imaginary Quadratic Number Fields
Oliver Braun, Renaud Coulangeon
We present an adaptation of Voronoi theory for imaginary quadratic number fields of class number greater than 1. This includes a characterisation of extreme Hermitian forms which i…
math.NT2006★ 1 cited
Spherical designs and zeta functions of lattices
Renaud Coulangeon
We set up a connection between the theory of spherical designs and the question of minima of Epstein's zeta function. More precisely, we prove that a Euclidean lattice, all layers…