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

TL;DR

This paper discusses A.V. Malyshev's approach to Minkowski's conjecture on the critical determinant of the region defined by |x|^p + |y|^p < 1 for p > 1, using his method to present the main result.

Contribution

It introduces Malyshev's approach and method to analyze Minkowski's conjecture for the critical determinant of the p-Lorentz region.

Findings

Application of Malyshev's method to Minkowski's conjecture

Main result confirming aspects of the conjecture

Advancement in understanding the critical determinant 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.