Miklos Schweitzer 1950_2
Source: second part of 1950
October 2, 2008
continued fractionnumber theory proposednumber theory
Problem Statement
Show that there exists a positive constant with the following property: To every positive irrational , there can be found infinitely many fractions with (p,q)\equal{}1 satisfying
\left|\alpha\minus{}\frac{p}{q}\right|\le \frac{c}{q^2}