On Legendre's Work on the Law of Quadratic Reciprocity

@article{Weintraub2011OnLW,
  title={On Legendre's Work on the Law of Quadratic Reciprocity},
  author={Steven H. Weintraub},
  journal={The American Mathematical Monthly},
  year={2011},
  volume={118},
  pages={210-216}
}
Legendre was the first to state the law of quadratic reciprocity in the form that 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. As is well known, Adrien-Marie Legendre (1752-1833) was the first to state the law of quadratic reciprocity in the form that we know it (though an equivalent result had earlier… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-8 of 8 references

Letter to Legendre of 5 August 1827

  • C.G.J. Jacobi
  • Collected Works, vol. I, C. W. Borchardt, ed…
  • 1969
Highly Influential
6 Excerpts

Mathematical Masterpieces

  • A. Knoebel, R. Laubenbacher, J. Lodder, D. Pengelley
  • Further Chronicles by the Explorers, Springer…
  • 2007
1 Excerpt

Über Legendres Versuche

  • H. Pieper
  • das quadratische Reziprozitätsgesetz zu beweisen…
  • 1997
2 Excerpts

The reciprocity law from Euler to Eisenstein

  • G. Frei
  • The Intersection of History and Mathematics…
  • 1994
1 Excerpt

The reciprocity law from Euler to Eisenstein , in The Intersection of History and Mathematics

  • J. W. Dauben
  • Gottingensis recentiores IV , 1818 . [ 7…
  • 1994

An attack on Gauss

  • S. M. Stigler
  • published by Legendre in 1820, Historia Math. 4
  • 1977
2 Excerpts

Dirichlet, Vorlesungen über Zahlentheorie, Chelsea

  • G L.P.
  • New York,
  • 1968
1 Excerpt

Similar Papers

Loading similar papers…