Uniform distribution of the weighted sum-of-digits functions,

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F21%3AA2202BO8" target="_blank" >RIV/61988987:17310/21:A2202BO8 - isvavai.cz</a>

Result on the web

<a href="https://sciendo.com/article/10.2478/udt-2021-0005" target="_blank" >https://sciendo.com/article/10.2478/udt-2021-0005</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2478/udt-2021-0005" target="_blank" >10.2478/udt-2021-0005</a>

Result language

angličtina

Original language name

Uniform distribution of the weighted sum-of-digits functions,

Original language description

The higher-dimensional generalization of the weighted q-adic sumof- digits functions sq;(n), n = 0; 1; 2; : : : , covers several important cases of sequences investigated in the theory of uniformly distributed sequences, e.g. d- dimensional van der Corput-Halton or d-dimensional Kronecker sequences. We prove a necessary and sufficient condition for the higher-dimensional weighted q-adic sum-of-digits functions to be uniformly distributed modulo one in terms of a trigonometric product. We also show that the existence of distribution function g(x) = x implies the uniform distribution modulo one of the weighted q-adic sum-of-digits function s_q(n).

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Uniform Distribution Theory

ISSN

2309-5377

e-ISSN

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Volume of the periodical

16

Issue of the periodical within the volume

1

Country of publishing house

AT - AUSTRIA

Number of pages

34

Pages from-to

93-126

UT code for WoS article

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EID of the result in the Scopus database

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