arXiv:1109.1228 Abstract | arXiv Analytics

arXiv:1109.1228 [math.NT]Abstract References Reviews Resources

Harbingers of Artin's Reciprocity Law. I. The Continuing Story of Auxiliary Primes

Published 2011-09-06Version 1

In this article we present the history of auxiliary primes used in proofs of reciprocity laws from the quadratic to Artin's reciprocity law. We also show that the gap in Legendre's proof can be closed with a simple application of Gauss's genus theory.

Categories: math.NT, math.HO

Subjects: 11A15, 11R37

Keywords: artins reciprocity law, auxiliary primes, continuing story, harbingers, gausss genus theory

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