Notes
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Gauss’ lemma: the \(C(p(x)q(x)) = C(p(x)) C(q(x))\) for \(C\) the content of a polynomial, the gcd of the coefficients.
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What is the degree of a number field?
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What is a rational prime?
Gauss’ lemma: the \(C(p(x)q(x)) = C(p(x)) C(q(x))\) for \(C\) the content of a polynomial, the gcd of the coefficients.
What is the degree of a number field?
What is a rational prime?