SU\G(𝔾)/K·U

On the quadratic reciprocity law

G. S. Rousseau

Type: Article

Publication Date: 1991-12-01

Citations: 27

DOI: https://doi.org/10.1017/s1446788700034583

Abstract

Abstract A version of Gauss's fifth proof of the quadratic reciprocity law is given which uses only the simplest group-theoretic considerations (dispensing even with Gauss's Lemma) and makes manifest that the reciprocity law is a simple consequence of the Chinese Remainder Theorem.

Locations

  • Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics - View - PDF

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Works Cited by This (2)

Action Title Year Authors
+ Démonstrations nouvelles de quelques théorÚmes relatifs aux nombres. 1828 G. Lejeune Dirichlet
+ Drei neue Beweise des ReciprocitÀtssatzes in der Theorie der quadratischen Reste. 1893 Hermann Schmidt