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Proofs Using Results from Cyclotomy

In: The Quadratic Reciprocity Law

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  • Oswald Baumgart

Abstract

In Chap. 5 we have collected the proofs that are based on theorems from cyclotomy. This theory was founded by Gauss Gauss when he was looking for another proof of his fundamental theorem. Already in 1796 [24] he announced the construction of the 17-gon. Apart from the fundamental theorems on imaginary numbers and functions, Gauss derived three (or, if you want, four) different proofs of the reciprocity law.

Suggested Citation

  • Oswald Baumgart, 2015. "Proofs Using Results from Cyclotomy," Springer Books, in: The Quadratic Reciprocity Law, edition 127, chapter 0, pages 111-124, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-16283-6_12
    DOI: 10.1007/978-3-319-16283-6_12
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