Gauss, Eisenstein, and the ``third'' proof of the quadratic reciprocity theorem: Ein kleines Schauspiel
type: Item
instance of: scholarly article
title: Gauss, Eisenstein, and the ``third'' proof of the quadratic reciprocity theorem: Ein kleines Schauspiel
zbMATH Open document ID: 0815.01005
DOI: 10.1007/BF03024287
author: Reinhard Laubenbacher
author: David Pengelley
published in: The Mathematical Intelligencer
publication date: 1995-03-01T00:00:00Z
review text: The authors compare Gauss and Eisenstein, in a prescient dialogue, their arguments for the quadratic reciprocity law. With \(p\) and \(q\) the odd primes, Gauss begins by multiplying \(q\) by the \(p\)-residues less than \(p/2\) while Eisenstein uses the even \(p\)-residues. The reader is led to a new appreciation of Eisenstein's insight.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 11A15
zbMATH DE Number: 727222
zbMATH Keywords: quadratic reciprocity
reviewed by: Edward J. Barbeau
MaRDI profile type: Publication
cites work: Q5826906
cites work: Q3257074
description: scientific article; zbMATH DE number 727222