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arXiv 2010-05-05 0 views

On the sum of two integral squares in certain quadratic fields

Wei, Dasheng

Original · EN

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

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