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math.NT2023
On coverings by Minkowski balls in the plane and a duality
Nikolaj Glazunov
Lattice coverings in the real plane by Minkowski balls are studied. We exploit the duality of admissible lattices of Minkowski balls and inscribed convex symmetric hexagons of thes…
math.NT2023
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…
math.NT2023
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…