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Legendre symbols as homomorphisms in number fields, and quadratic reciprocity [closed]
$\newcommand{\legendre}[2]{\genfrac{(}{)}{}{}{#1}{#2}}$
Suppose we have a finite set of rational primes $B=\{p_1,\ldots,p_k\}$, and $V=\{ x\in\mathbb{Q}^*~|~x\text{ contains only primes in B} \}$. So ...
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