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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 226, Pages 52–59 (Mi znsl3719)  
Arcs and series of Farey

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (995 kB)
Abstract: We find a finite subdivision of the interval $[0,1]$ into Farey's arcs in which the large as well as small arcs are explicitly presented. This subdivision is compared with Kloosterman's classical subdivision and the infinite subdivision by the group of modular transformations. Bibl. 5 titles.
Received: 20.07.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 1, Pages 945–950
DOI: https://doi.org/10.1007/BF02358530
Bibliographic databases:
Document Type: Article
UDC: 511.512
Language: Russian
Citation: A. I. Vinogradov, “Arcs and series of Farey”, Analytical theory of numbers and theory of functions. Part 13, Zap. Nauchn. Sem. POMI, 226, POMI, St. Petersburg, 1996, 52–59; J. Math. Sci. (New York), 89:1 (1998), 945–950
Citation in format AMSBIB
\Bibitem{Vin96}
\by A.~I.~Vinogradov
\paper Arcs and series of Farey
\inbook Analytical theory of numbers and theory of functions. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 226
\pages 52--59
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3719}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1433346}
\zmath{https://zbmath.org/?q=an:0898.11039|0893.11040}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 1
\pages 945--950
\crossref{https://doi.org/10.1007/BF02358530}
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