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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The collected works

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Letter to Legendre of 5 August 1827

  • Collected Works,
  • 1969

An attack on Gauss, published by Legendre in 1820

Acta Hist. Leopold

  • Acta Hist. Leopold
  • 1997

Also available in German translation in

  • Also available in German translation in