2014/04/19 by Dalawat, Chandan Singh
#11-02 #11R37 #11S31 #FOS: Mathematics #History and Overview (math.HO) #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1404.4918
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.