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Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, Number 4, Pages 60–62 (Mi vmumm564)  

Short notes

Optimal control, everywhere dense torus winding, and Wolstenholme primes

D. D. Kiselev

All-Russian Academy of International Trade, Moscow

Abstract: In this paper, using Galois theory and the knowledge of the Wolstenholme primes distribution, we construct an optimal control problem where the control runs an everywhere dense winding of a $k$-dimensional torus for arbitrary natural $k\leqslant 249 998 919$ given in advance.

Key words: torus winding, Galois theory, Wolstenholme primes.

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English version:
Moscow University Mathematics Bulletin, 2018, 73:4, 162–163

Bibliographic databases:

UDC: 512.623.3+517.977.5
Received: 04.10.2017

Citation: D. D. Kiselev, “Optimal control, everywhere dense torus winding, and Wolstenholme primes”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 4, 60–62; Moscow University Mathematics Bulletin, 73:4 (2018), 162–163

Citation in format AMSBIB
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\by D.~D.~Kiselev
\paper Optimal control, everywhere dense torus winding, and Wolstenholme primes
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2018
\issue 4
\pages 60--62
\mathnet{http://mi.mathnet.ru/vmumm564}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3855911}
\zmath{https://zbmath.org/?q=an:1403.49019}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2018
\vol 73
\issue 4
\pages 162--163
\crossref{https://doi.org/10.3103/S0027132218040071}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052799053}


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