On A.V. Malyshev's approach to Minkowski's conjecture concerning the critical determinant of the region $|x{|}^p+|y{|}^p<1$ for $p>1$

Abstract

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 present the main result.

12 pages. arXiv admin note: text overlap with arXiv:math/0009057