\"Uber Approximationen $n$ reeller Zahlen

TL;DR

This paper presents a new theoretical result on the mutual behavior of irrationality measure functions for multiple real numbers, advancing understanding in Diophantine approximation.

Contribution

It introduces a novel theorem describing the interaction of irrationality measures for n real numbers, a previously unexplored aspect.

Findings

New theorem on mutual behavior of irrationality measures

Enhanced understanding of Diophantine approximation for multiple numbers

Potential implications for number theory and approximation algorithms

Abstract

We prove a new result about the mutual behavior of irrationality measure functions $\psi_{\alpha_j}(t)$ for $n$ different real numbers $\alpha_j,\, j =1,...n$.