Let $\alpha$ be any real number, and let $\mu$ be the irrationality measure of $\alpha$. Does there exist a number $c > 0$ such that: $$\left | \frac{p}{q} - \alpha \right | \geq \frac{c}{q^\mu}$$
for all nonzero integers $p$ and $q$?
2026-03-27 16:03:55.1774627435
Irrationality Measure Multiplied by a Constant
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