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Operations research, linear programming, control theory, systems theory, optimal control, game theory

49 votes

SOS polynomials with integer coefficients

There is the following result of Davenport, Lewis, and Schinzel [DLS64, Cor to Thm 2]: Theorem. Let $p \in \mathbf Z[x]$. Then the following are equivalent: $p$ is a sum of two squares in $\mathbf Z …
R. van Dobben de Bruyn's user avatar