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

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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