On the arithmetic and algebraic properties of Minkowski balls and spheres

TL;DR

This paper explores the arithmetic and algebraic properties of Minkowski balls and spheres, providing new insights in number theory and algebra with detailed analysis and results.

Contribution

It introduces novel findings on the algebraic structure of Minkowski geometric objects, expanding understanding in number theory and algebra.

Findings

New properties of Minkowski balls and spheres identified

Enhanced understanding of their algebraic structures

Potential applications in number theory and geometric analysis

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.