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OALib Journal期刊
ISSN: 2333-9721
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Sommes d’exponentielles associées aux fonctions digitales restreintes

Keywords: Fonctions digitales , équirépartition modulo $1$ , sommes d'exponentielles , suites automatiques

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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.

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