Tapani Matala-aho

Simultaneous approximation to pairs of real numbers

Let $B_{m}$ and $D_{n}$ be the denominators of the $m$th and $n$th convergent of the real numbers $\alpha$ and $\beta$, respectively. We introduce an abnormal method in the theory of simultaneous Diophantine approximation to the pair $\alpha,\beta$. Namely, the question of finding simultaneous approximation is turned i...