Article ID Journal Published Year Pages File Type
4594035 Journal of Number Theory 2013 24 Pages PDF
Abstract

We treat certain integral lattices in ternary quadratic spaces. Each of them is described by an order associated with the lattice in the even Clifford algebra. In this viewpoint we determine the mass of the genus of such a lattice. As an application the number of primitive solutions of a quadratic Diophantine equation with four variables can be derived by means of the mass formula due to Shimura.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory