Hostname: page-component-7bb8b95d7b-nptnm Total loading time: 0 Render date: 2024-10-06T17:15:49.791Z Has data issue: false hasContentIssue false

Kettenbrüche. By A. Khintchine. Mathematisch-naturwissenschaftliche Bibliothek Nr. 3. Pp. vi + 96. 1956. (Teubner, Leipzig)

Published online by Cambridge University Press:  03 November 2016

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Reviews
Copyright
Copyright © Mathematical Association 1958

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Strictly speaking, Markoff’s result relates to quadratic forms, but the theorem for diophantine approximation is closely related and is known by his name. There is another Markoff chain beloved of statisticians, but that is quite a different story.

Compositio Math., 1 (1935), 361-382. It might be mentioned that ergodic theory puts the third part of the book in a wider setting and provides simple proofs of some, but apparently not all, of the results: see C. Ryll-Narzewski, Studia Math. 12 (1951). 74-79.

§ But, then, the original is incredibly cheap by English publishing standards. Ordered through a Cambridge bookseller my copy cost 2/-.