On the arithmetic and algebraic properties of Minkowski balls and spheres

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.

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