Some historical remarks on number theory
type: Item
instance of: scholarly article
title: Some historical remarks on number theory
zbMATH Open document ID: 0333.01001
DOI: 10.1016/0315-0860(75)90119-6
published in: Historia Mathematica
publication date: 1975-01-01T00:00:00Z
review text: This article formed part of the Proceedings of the Workshop on the Evolution of Modern Mathematics held at the American Academy of Arts and Sciences (Boston, Mass.) in August 1974. It illustrates the kind of developments that are characteristic of number theory by describing progress since Euler on the well known conjecture of Catalan concerning the equation \(x^m-y^n=1\). (Added in 2016) From the comments: ``Finally Kahane commented that Baker's talk was a ``masterpiece'' of what Baker as a mathematician can do on the history of mathematics.'' Finally it should be remarked that the Catalan conjecture was proved by \textit{P. Mihăilescu} [J. Reine Angew. Math. 572, 167--195 (2004; Zbl 1067.11017) and J. Number Theory 99, No. 2, 225--231 (2003; Zbl 1049.11036)].
Mathematics Subject Classification ID: 01A05
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 11D61
zbMATH DE Number: 3520347
zbMATH Keywords: Catalan conjecture
zbMATH Keywords: Diophantine equations
MaRDI profile type: Publication
full work available at URL: 0315-0860(75)90119-6
OpenAlex ID: W2031138765
author: Alan Baker
description: scientific article; zbMATH DE number 3520347