On Legendre's Work on the Law of Quadratic Reciprocity

  title={On Legendre's Work on the Law of Quadratic Reciprocity},
  author={Steven H. Weintraub},
  journal={The American Mathematical Monthly},
  pages={210 - 216}
  • S. Weintraub
  • Published 1 March 2011
  • Mathematics
  • The American Mathematical Monthly
Abstract Legendre was the first to state the law of quadratic reciprocity in the form in which we know it and he was able to prove it in some but not all cases, with the first complete proof being given by Gauss. In this paper we trace the evolution of Legendre's work on quadratic reciprocity in his four great works on number theory. 

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