English

On the arithmetic and algebraic properties of Minkowski balls and spheres

Number Theory 2025-10-13 v4

Abstract

This paper gives a brief overview of some new work in number theory and algebra, and also studies the arithmetic and algebraic properties of Minkowski balls and spheres. The content of the paper is presented in more detail in the table of Contents and in the Introduction.

Keywords

Cite

@article{arxiv.2407.12048,
  title  = {On the arithmetic and algebraic properties of Minkowski balls and spheres},
  author = {Nikolaj Glazunov},
  journal= {arXiv preprint arXiv:2407.12048},
  year   = {2025}
}

Comments

34 pages, Added sections on algebraic dynamics, on activity measures and on elements of history of matroids. Several typos fixed