<div class="csl-bib-body">
<div class="csl-entry">Drmota, M. (2022, 0 0). <i>Subsequences of Automatic Sequences and Uniform Distribution</i> [Presentation]. SFB-Meeting Traunkirchen, Austria.</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/136407
-
dc.description.abstract
Automatic sequences and their number theoretic properties have been in-tensively studied during the last 20 or 30 years. Since automatic sequences are quiteregular (they just have linear subword complexity), they cannot be used as quasi-random sequences. However, the situation changes drastically when one uses propersubsequences, for examplethe subsequence along primesor squares. It isconjecturedthat the resulting sequences are normal sequences which could be already proved forthe Thue–Morse sequence along the subsequence of squares.This kind of research is very challenging and was mainly motivated by the Gelfondproblems for the sum-of-digits function. In particular, during the last few years spec-tacular progress was made due to the Fourier analytic method by Mauduit and Rivat.In this chapter, we survey these recent developments, comment on the proof methods,and formulate quite general conjectures. We also present a new result on the subse-quence along primes of so-called invertible automatic sequences.
-
dc.language.iso
en
-
dc.subject
Automatic sequences
en
dc.subject
Gelfond problems
en
dc.subject
uniform distribution
en
dc.subject
exponential sums
en
dc.title
Subsequences of Automatic Sequences and Uniform Distribution
-
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Presentation
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.value
100
-
tuw.publication.orgunit
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
-
tuw.event.name
SFB-Meeting Traunkirchen
-
tuw.event.startdate
13-01-2022
-
tuw.event.enddate
15-01-2022
-
tuw.event.online
On Site
-
tuw.event.type
Event for scientific audience
-
tuw.event.country
AT
-
tuw.event.presenter
Drmota, Michael
-
wb.sciencebranch
Informatik
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1020
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
5
-
wb.sciencebranch.value
95
-
item.languageiso639-1
en
-
item.openairetype
conference presentation
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/R60J-J5BD
-
crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
