chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2016-17-4-185-193cheb-296Research ArticleСтатьиArticleON A. V. MALYSHEV’S APPROACH TO MINKOWSKI’S CONJECTURE CONCERNING THE CRITICAL DETERMINANT OF THE REGION |x|p + |y|p < 1 for p > 1ON A. V. MALYSHEV’S APPROACH TO MINKOWSKI’S CONJECTURE CONCERNING THE CRITICAL DETERMINANT OF THE REGION |x|p + |y|p < 1 for p > 1GlazunovN. M.GlazunovN. M.National Aviation UniversityРоссияNational Aviation UniversityRussian Federation201615062017174185193Copyright &#x00A9; Glazunov N.M., 20172017Glazunov N.M.Glazunov N.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/296

Целью статьи является представление подхода А. В. Малышева к исследованию и доказательству гипотезы Минковского (с уточнениями С. Дэвиса (C. Davis)) о критическом определителе области |x|p+ |y|p< 1 для p > 1 и краткое изложение метода Малышева и полученных на его основе результатов.

We present A. V. Malyshev‘s approach to Minkowski‘s conjecture (in Davis‘s amendment) concerning the critical determinant of the region |x|p+ |y|p< 1 for p > 1 and Malyshev‘s method. In the sequel of this article we use these approach and method to obtain the main result.

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The authors declare that there are no conflicts of interest present.