On the sum of two integral squares in quadratic fields $\Q(\sqrt{\pm p})

Abstract

We propose a method for determining which integers can be written as a sum of two integral squares for quadratic fields $\Q(\sqrt{\pm p})$, where $p$ is a prime.

7 pages. Acta Arith.(to appear)

References in corpus (2)

• Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• Integral Points for Groups of Multiplicative Type