An elementary interpretation of entry 12 in Gauss's Tagebuch
type: Item
instance of: scholarly article
title: An elementary interpretation of entry 12 in Gauss's Tagebuch
zbMATH Open document ID: 0732.01021
DOI: 10.1016/0315-0860(91)90498-M
author: William C. Waterhouse
published in: Historia Mathematica
publication date: 1991-01-01T00:00:00Z
review text: An entry for June 5, 1796 in Gauss' `Tagebuch' reads: ``Periodorum summa omnibus infra modulum numeris pro elementis sumptis: fact gen \(((n+1)a- na)a^{n-1}.\)'' The author rejects an interpretation given by Bachmann in the 1917 edition of Gauss's `Werke' and suggests an alternative which is more consistent with the notation of another entry of the same date.
Mathematics Subject Classification ID: 01A50
Mathematics Subject Classification ID: 11-03
zbMATH DE Number: 4210076
zbMATH Keywords: numbers
zbMATH Keywords: residues
reviewed by: Edward J. Barbeau
MaRDI profile type: Publication
cites work: Q3032223
cites work: A commentary on Gauss's mathematical diary, 1796--1814, with an English translation
full work available at URL: 0315-0860(91)90498-m
OpenAlex ID: W1982267201
description: scientific article; zbMATH DE number 4210076