6 papers
On direct and inverse limits of Minkowski's balls, domains, and their critical lattices
Nikolaj Glazunov
We construct direct and inverse systems of Minkowski's balls and domains, direct and inverse systems of their critical lattices and calculate their direct and inverse limits.
On Lattice points and Optimal Packing of Minkowski's Balls and Domains
Nikolaj Glazunov
We investigate lattice packings of Minkowski's balls and domains, as well as the distribution of lattice points on Minkowski's curves which are boundaries of Minkowski's balls. By…
On packing of Minkowski balls. II
Nikolaj Glazunov
This is the continuation of the author's ArXiv presentation "On packing of Minkowski balls. I". In section 2 we investigate lattice packings of Minkowski balls and domains. By resu…
Braids, links, cobordisms and formal groups
Nikolaj Glazunov
V.V. Sharko in his papers and books has investigated functions on manifolds and cobordism. Braids intimately connect with functions on manifolds. These connections are represented…
On A.V. Malyshev's approach to Minkowski's conjecture concerning the critical determinant of the region for
Nikolaj Glazunov
We present A.V. Malyshev`s approach to Minkowski`s conjecture (in Davis`s amendment) concerning the critical determinant of the region for and Malyshev`s…
On Rigid, Hard and Soft Problems and Results in Arithmetic Geometry
Nikolaj Glazunov
Rigid, hard and soft problems and results in arithmetic geometry are presented. "Soft" and "hard" in our paper are limited to the framework of solutions of quadratic forms over rin…