A new solution to the equation .
An application of dihedral fields to representations of primes by binary quadratic forms
An average formula for the class number
An extension of some formulae of Lerch
Applications of spinor class fields: embeddings of orders and quaternionic lattices
We extend the theory of spinor class fields and relative spinor class fields to study representation problems in several classical linear algebraic groups over number fields. We apply this theory to study the set of isomorphism classes of maximal orders of central simple algebras containing a given maximal Abelian suborder. We also study isometric embeddings of one skew-Hermitian Quaternionic lattice into another.
Arithmetic of Hermitian forms.