24 citations · 90 across the 34 of their papers we have counts for
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math.NT2010
On the representation of integers by indefinite binary Hermitian forms
Jouni Parkkonen, Frédéric Paulin
Given an integral indefinite binary Hermitian form f over an imaginary quadratic number field, we give a precise asymptotic equivalent to the number of nonequivalent representation…
math.DS2010
Équidistribution, comptage et approximation par irrationnels quadratiques
Jouni Parkkonen, Frédéric Paulin
Let be a finite volume hyperbolic manifold, we show the equidistribution in of the equidistant hypersurfaces to a finite volume totally geodesic submanifold . We prove a…
math.DG2010
On strictly convex subsets in negatively curved manifolds
Jouni Parkkonen, Frédéric Paulin
In a complete simply connected Riemannian manifold X of pinched negative curvature, we give a sharp criterion for a subset C to be the epsilon-neighbourhood of some convex subset o…