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Keywords:
Sums of two integer squares; quartic number field
Sums of two integer squares; quartic number field
Summary:
An example of a quartic extension of the rational number field that does not have quadratic subfields and there exists a set of rational prime numbers $p \equiv 3 \pmod{4}$ of positive Dirichlet density such that either $p$ or $31p$ is a sum of two squares of integers of the extension is given.
References:
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