Gauss, Eisenstein, and the ``third'' proof of the quadratic reciprocity theorem: Ein kleines Schauspiel (Q1345071)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Gauss, Eisenstein, and the ``third proof of the quadratic reciprocity theorem: Ein kleines Schauspiel |
scientific article; zbMATH DE number 727222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gauss, Eisenstein, and the ``third'' proof of the quadratic reciprocity theorem: Ein kleines Schauspiel |
scientific article; zbMATH DE number 727222 |
Statements
Gauss, Eisenstein, and the ``third'' proof of the quadratic reciprocity theorem: Ein kleines Schauspiel (English)
0 references
1 March 1995
0 references
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.
0 references
quadratic reciprocity
0 references
