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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 302, Pages 81–95 (Mi znsl921)  
This article is cited in 3 scientific papers (total in 3 papers)

Self-similarity of some sequences of points on a circle

N. N. Manuylov

Vladimir State Pedagogical University
Full-text PDF (203 kB) Citations (3)
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Abstract: The self-similarity and periodicity properties are proved for the derivatives $d^mO_0$ of the sequences $O_0$, which are obtained by shifting the unit circle by the arc $\tau_2=1+\sqrt2=[(2)]$.
Received: 12.09.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 3, Pages 3860–3867
DOI: https://doi.org/10.1007/s10958-005-0322-9
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: N. N. Manuylov, “Self-similarity of some sequences of points on a circle”, Analytical theory of numbers and theory of functions. Part 19, Zap. Nauchn. Sem. POMI, 302, POMI, St. Petersburg, 2003, 81–95; J. Math. Sci. (N. Y.), 129:3 (2005), 3860–3867
Citation in format AMSBIB
\Bibitem{Man03}
\by N.~N.~Manuylov
\paper Self-similarity of some sequences of points on a~circle
\inbook Analytical theory of numbers and theory of functions. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 302
\pages 81--95
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl921}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2023034}
\zmath{https://zbmath.org/?q=an:1140.11338}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 3
\pages 3860--3867
\crossref{https://doi.org/10.1007/s10958-005-0322-9}
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  • https://www.mathnet.ru/eng/znsl/v302/p81
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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