Chebotarëv and his density theorem. (English) Zbl 0885.11005
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.
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.
Reviewer: S.L.Segal (Rochester)
MSC:
| 11-03 | History of number theory |
| 11R45 | Density theorems |
| 01A60 | History of mathematics in the 20th century |
| 01A70 | Biographies, obituaries, personalia, bibliographies |
References:
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