Proofs Using Results from Cyclotomy

Oswald Baumgart

Chapter Chapter 12 in The Quadratic Reciprocity Law, 2015, pp 111-124 from Springer

Abstract: 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.

Keywords: Theta Function; Fundamental Theorem; Primitive Root; Quadratic Residue; Theta Series (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-16283-6_12

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