On positive definite Hermitian forms.
On the arithmetic of cross-ratios and generalised Mertens’ formulas
We develop the relation between hyperbolic geometry and arithmetic equidistribution problems that arises from the action of arithmetic groups on real hyperbolic spaces, especially in dimension . We prove generalisations of Mertens’ formula for quadratic imaginary number fields and definite quaternion algebras over , counting results of quadratic irrationals with respect to two different natural complexities, and counting results of representations of (algebraic) integers by binary quadratic, Hermitian...
On the classification of hermitian forms. I. Rings of algebraic integers
On the composition of nondegenerate quadratic forms with an arbitrary index
On the composition of nondegenerate quadratic forms with an arbitrary index
On the orthogonal groups of unimodular quadratic forms. II.
On universal binary Hermitian forms.