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Eight lectures on quadratic reciprocity

Published 19 Apr 2014 in math.HO and math.NT | (1404.4918v3)

Abstract: Rousseau's simple proof of the quadratic reciprocity law, followed by the proof of its equivalence with Hilbert's product formula. The Hilbert symbol is explained in terms of the reciprocity isomorphism, and the places of Q are determined.

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