Skip to main content
SpringerLink
Log in

Optimal Control, Everywhere Dense Torus Winding, and Wolstenholme Primes

  • Brief Communications
  • Published:
Moscow University Mathematics Bulletin Aims and scope

Abstract

An optimal control problem is constructed so that its control runs over an everywhere dense winding of a k-dimensional torus for arbitrary natural k ≤ 249 998 919 given in advance. The construction is based on Galois theory and the Wolstenholme primes distribution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. D. D. Kiselev, L. V. Lokutsievskii, and M. I. Zelikin, “Optimal Control and Galois Theory,” Matem. Sbornik 204 (11), 83 (2013) [Sbornik: Math. 204 (11), 1624 (2013)].

    Article  MathSciNet  Google Scholar 

  2. R. J. McIntosh and E. L. Roettger, “A Search for Fibonacci–Wieferich and Wolstenholme Primes,” Math. Comput. 76, 2087 (2007).

    Article  MathSciNet  MATH  Google Scholar 

  3. D. D. Kiselev, “Applications of Galois Theory to Optimal Control,” in: Proc. 48th Int. Youth School-Conference “Modern Problems in Mathematics and its Applications,” Yekaterinburg, Russia, February 5–11, 2017, ed. by A. Makhnev and S. Pravdin (Krasovskii Institute of Mathematics and Mechanics, Yekaterinburg, 2017), pp. 50–56

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Russian Foreign Trade Academy, Chair of Informatics and Mathematics, 4A Pudovkina Str., Moscow, 119285, Russia

    D. D. Kiselev

Authors
  1. D. D. Kiselev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. D. Kiselev.

Additional information

Original Russian Text © D.D. Kiselev, 2018, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2018, Vol. 73, No. 4, pp. 60–62.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kiselev, D.D. Optimal Control, Everywhere Dense Torus Winding, and Wolstenholme Primes. Moscow Univ. Math. Bull. 73, 162–163 (2018). https://doi.org/10.3103/S0027132218040071

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027132218040071

Search

Navigation