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On the number of integer points whose first coordinates satisfy a divisibility condition on hyperboloids of a special form

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Abstract

The discrete ergodic method is applied to obtain an asymptotic expression for the number of all integer points in a given bounded domain on a three-dimensional hyperboloid of genus determined by the invariants [w, 2], where w is odd, such that the first coordinates of these points are divisible by w.

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Authors and Affiliations

  1. Berbekov Kabardino-Balkarian State University, Nalchik, Russia

    U. M. Pachev & R. A. Dokhov

  2. Institute of Physics and Mathematics, Nalchik, Russia

    U. M. Pachev & R. A. Dokhov

Authors
  1. U. M. Pachev
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  2. R. A. Dokhov
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Correspondence to U. M. Pachev.

Additional information

Original Russian Text © U. M. Pachev, R. A. Dokhov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 6, pp. 881–886.

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Pachev, U.M., Dokhov, R.A. On the number of integer points whose first coordinates satisfy a divisibility condition on hyperboloids of a special form. Math Notes 100, 847–851 (2016). https://doi.org/10.1134/S0001434616110249

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  • DOI: https://doi.org/10.1134/S0001434616110249

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