Dasheng Wei
Published 2010-05-05, updated 2013-04-29Version 2
In this note, we give a necessary and sufficient condition for determining which integers can be written as a sum of two integral squares for certain quadratic fields by using the integral Brauer-manin obstruction (see \cite{CTX}). The condition is computable and originally from the reciprocity law.
Comments: 16 pages,Forum Math.(to appear)
On the sum of two integral squares in quadratic fields $\Q(\sqrt{\pm p})
The distribution of $H_{8}$-extensions of quadratic fields
Restricted sums of four integral squares
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