Chebotarëv and his density theorem
type: Item
instance of: scholarly article
title: Chebotarëv and his density theorem
zbMATH Open document ID: 0885.11005
DOI: 10.1007/BF03027290
published in: The Mathematical Intelligencer
publication date: 1998-01-28T00:00:00Z
review text: The authors sketch the life of N. G. Chebotarëv (1894-1947), most famous for his density theorem in algebraic number theory. Two-thirds of the paper are devoted to Chebotarëv's mathematics. These include a brief history and explanation of the density theorem and its importance, together with a sketch of a proof of it which does not use class field theory (the historical situation). Also included are two further results of Chebotarëv; one on Vandermonde determinants, which has application to the singularities of gap series, and one dealing with whether a certain class of numbers is constructible. The paper, both mathematically and historically, is very clearly written. There is a picture of Chebotarëv. One small note: while transliteration is always a problem, and the Mathematical Review Journals' standard is an appropriate one to follow, it is nevertheless a little strange to see Alexander Ostrowski (who, though Russian, spent his career in German speaking institutions, chiefly Göttingen and Basel) referred to as Ostrovskii.
Mathematics Subject Classification ID: 11-03
Mathematics Subject Classification ID: 11R45
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 01A70
zbMATH DE Number: 1038556
zbMATH Keywords: Chebotarev density theorem
zbMATH Keywords: constructible numbers
zbMATH Keywords: singularities of gap series
author: Peter Stevenhagen
author: H. W. jun. Lenstra
reviewed by: Sanford L. Segal
MaRDI profile type: Publication
Wikidata QID: Q29541132
cites work: Q5795524
cites work: Über den Tschebotareffschen Dichtigkeitssatz
cites work: Q5636978
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cites work: Q5132690
cites work: Q5132695
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cites work: A conjecture of Krishnamurthy on decimal periods and some allied problems
cites work: Quelques applications du théorème de densité de Chebotarev
cites work: Years ago (Luzin and Egorov)
full work available at URL: https://doi.org/10.1007/bf03027290
OpenAlex ID: W1978920825
description: scientific article; zbMATH DE number 1038556