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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.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…