## Irrationality measure functions

When
Start: 01/31/2018 - 4:15pm
End  : 01/31/2018 - 5:15pm

Category
Colloquium

Speaker
Nikolay Moshchevitin

Abstract

We will discuss various problems dealing with approximation of real numbers by rationals.Let $\alpha$ be a real number. A rational fraction  $p/q$ is defined to be a best approximation to $\alpha$ if $|\alpha q'-p'|> |\alpha q -p|$ for all fractions $p'/q'$ with $q'<q$. The sequence of the best approximations to $\alpha$  determine the irrationality measure function $\psi_\alpha (t)$ which has nice properties.

Where
Freeberg Forum, LC 62, Kravis Center, CMC

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