Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 7, Issue 1


Published
on

July 13, 2011


Pages

105-133


DOI

Article

Sommes D’exponentielles Associées Aux Fonctions Digitales Restreintes


Authors

Christian Mauduit Affiliation:
Institut de Mathematiques de Luminy CNRS, UMR 6206 163, avenue de Luminy, Case 907 F–13288 Marseille Cedex 9 FRANCE
and Zaid Shawket Affiliation:
Université de la Méditerranée Institut de Mathématique de Luminy UMR 6206 CNRS Campus de Luminy, case 907 13288 Marseille cedex 9 FRANCE


Abstract

In this work, we study the exponential sums associated to certain classes of arithmetic functions, called restricted digital functions. The estimation of these exponential sums allows to study the uniform distribution modulo 1 of restricted digital functions as well as the statistical properties of the sequences of integers associated with them.


Keywords

Fonctions digitales, équirépartition modulo 1, sommes d’exponentielles, suites.


Citation

Mauduit, C. & Shawket, Z. (2012). Sommes d’exponentielles associées aux fonctions digitales restreintes. Uniform Distribution Theory, 7(1), 105–133.

Published by: Engineering Journals

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