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Uniform distribution mod 1, results and open problems

By Imre Katai

Appears in collection : 6th International conference on uniform distribution theory - UDT2018 / 6e Colloque international sur la théorie de la répartition uniforme - UDT2018

Given a fixed integer $q \geq 2$, an irrational number $\xi$ is said to be a $q$-normal number if any preassigned sequence of $k$ digits occurs in the $q$-ary expansion of $\xi$ with the expected frequency, that is $1/q^k$. In this talk, we expose new methods that allow for the construction of large families of normal numbers. This is joint work with Professor Jean-Marie De Koninck.

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  • DOI 10.24350/CIRM.V.19454203
  • Cite this video Katai, Imre (01/10/2018). Uniform distribution mod 1, results and open problems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19454203
  • URL https://dx.doi.org/10.24350/CIRM.V.19454203

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