On the sum of two integral squares in certain quadratic fields

2010/05/05 by Dasheng Wei, Wei, Dasheng
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1005.0658

16 pages,Forum Math.(to appear)

arxiv created 2013/04/29 · arxiv updated 2013/04/30

Abstract

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 \citeCTX). The condition is computable and originally from the reciprocity law.

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