876pol daniel_wang123 advey orz

$n$th cyclotomic polynomial

$${\displaystyle {\mathrm{\Phi }}_n(x)=\prod _{\genfrac{}{}{0ex}{}{1\le k\le n}{gcd(k,n)=1}}(x-e^{\frac{2i\pi k}{n}})}$$

The Law of Quadratic Reciprocity

If $p$ and $q$ are distinct odd primes, $${\displaystyle \left(\frac{p}{q}\right)\cdot \left(\frac{q}{p}\right)=(-1{)}^{\frac{(p-1)(q-1)}{4}}.}$$

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