On a certain subideal of the Stickelberger ideal of a cyclotomic field
On Artin L-Functions Associated to Hilbert Modular Forms of Weight One.
On automorphisms of quaternion orders.
On certain ideals of the group ring
On discriminants and indices of integers of an algebraic number field.
On embedding numbers into quaternion orders.
On octahedral extensions of and quadratic -curves
We give a necessary condition for a surjective representation Gal to arise from the -torsion of a -curve. We pay a special attention to the case of quadratic -curves.
On singular moduli.
On symmetric and unsymmetric theta functions over a real quadratic field
On Taylor's conjecture for Kummer orders
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 arithmetic of quaternion algebras
On the arithmetic of some division algebras.
On the distribution of kth powers of integral quaternions
On the distribution of squares of integral Cayley numbers
On the distribution of squares of integral quaternions
On the distribution of squares of integral quaternions II
On the fundamental periods of automorphic forms of arithmetic type.
On the Local Zeta Function of Quaternionic Shimura Varieties with Bad Reduction.
On the -torsion subgroup of the Brauer group of a number field
Given a number field Galois over the rational field , and a positive integer prime to the class number of , there exists an abelian extension (of exponent ) such that the -torsion subgroup of the Brauer group of is equal to the relative Brauer group of .