Français
Uniform distribution mod 1, results and open problems
Post-edited
Authors : Katai, Imre (Author of the conference)
CIRM (Publisher )
11A41 - Primes
11K16 - Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
11N37 - Asymptotic results on arithmetic functions
CIRM (Publisher )
Abstract :
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.
Keywords : number systems; normal numbers; arithmetic function; $q$-normal number; $q$-ary expansion
MSC Codes : Keywords : number systems; normal numbers; arithmetic function; $q$-normal number; $q$-ary expansion
11A41 - Primes
11K16 - Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
11N37 - Asymptotic results on arithmetic functions
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 10/10/2018 Conference Date : 01/10/2018 Subseries : Research talks arXiv category : Number Theory Mathematical Area(s) : Number Theory Format : MP4 (.mp4) - HD Video Time : 00:29:32 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-10-03_Katai.mp4 
|
Information on the Event
Event Title : 6th International conference on uniform distribution theory - UDT2018 / 6e Colloque international sur la théorie de la répartition uniforme - UDT2018Event Organizers : Karpenkov, Oleg ; Nair, Radhakrishnan ; Verger-Gaugry, Jean-Louis Dates : 01/10/2018 - 05/10/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1860.html
Citation Data
DOI : 10.24350/CIRM.V.19454203Cite this video as: Katai, Imre (2018). Uniform distribution mod 1, results and open problems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19454203 URI : http://dx.doi.org/10.24350/CIRM.V.19454203 |
See Also
- [Multi angle] On the cross-combined measure of families of binary lattices and sequences / Author of the conference Gyarmati, Katalin.
- [Multi angle] Growth and geometry in $SL_2(\mathbb{Z})$ dynamics / Author of the conference Veselov, Alexander.
- [Multi angle] On the digits of primes and squares / Author of the conference Rivat, Joël.
- [Multi angle] Quasi-random graphs and pseudo-random binary sequences / Author of the conference Sarközy, Andras.
Bibliography
