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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 91, Pages 31–39 (Mi znsl3175)  

This article is cited in 1 scientific paper (total in 1 paper)

On the distribution of the sequence $\{bp^{3/2}\}\mod1$

E. P. Golubeva, O. M. Fomenko
Full-text PDF (348 kB) Citations (1)
Abstract: Using the method of I. M. Vinogradov, the authors derive an asymptotic formula connected with distribution of fractional parts $\{bp^{3/2}\}$, $p\le N$, $N\to\infty$, where $b>0$ and $p$ runs through all prime numbers.
English version:
Journal of Soviet Mathematics, 1981, Volume 17, Issue 5, Pages 2102–2107
DOI: https://doi.org/10.1007/BF01567589
Bibliographic databases:
UDC: 511.333
Language: Russian
Citation: E. P. Golubeva, O. M. Fomenko, “On the distribution of the sequence $\{bp^{3/2}\}\mod1$”, Analytical theory of numbers and theory of functions. Part 2, Zap. Nauchn. Sem. LOMI, 91, "Nauka", Leningrad. Otdel., Leningrad, 1979, 31–39; J. Soviet Math., 17:5 (1981), 2102–2107
Citation in format AMSBIB
\Bibitem{GolFom79}
\by E.~P.~Golubeva, O.~M.~Fomenko
\paper On the distribution of the sequence $\{bp^{3/2}\}\mod1$
\inbook Analytical theory of numbers and theory of functions. Part~2
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 91
\pages 31--39
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3175}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=566506}
\zmath{https://zbmath.org/?q=an:0437.10017|0467.10026}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 17
\issue 5
\pages 2102--2107
\crossref{https://doi.org/10.1007/BF01567589}
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  • https://www.mathnet.ru/eng/znsl/v91/p31
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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