When

Start: 01/31/2018 - 4:15pm

End : 01/31/2018 - 5:15pm

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

__Claremont Graduate University__ | __Claremont McKenna__ | __Harvey Mudd__ | __Pitzer__ | __Pomona__ | __Scripps__

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