Beta-expansions with negative bases.
Binomial expected values of arithmetical functions.
Cantor series constructions of sets of normal numbers
Caractérisation des ensembles normaux
Caractérisation des ensembles normaux
Caractérisation des ensembles normaux dans Z. Erratum
Connectedness of number theoretic tilings.
Construction of normal numbers with respect to the Q-Cantor series expansion for certain Q
Continued fractions with sequences of partial quotients over the field of Laurent series
Correction to my paper: “Uniformly distributed sequences mod 1 and Cantor's series representation”
De nouveaux curieux produits infinis
Digital expansion of exponential sequences
We consider the -ary digital expansion of the first terms of an exponential sequence . Using a result due to Kiss and Tichy [8], we prove that the average number of occurrences of an arbitrary digital block in the last digits is asymptotically equal to the expected value. Under stronger assumptions we get a similar result for the first digits, where is a positive constant. In both methods, we use estimations of exponential sums and the concept of discrepancy of real sequences modulo ...
Dimension de Hausdorff
Dimension de Hausdorff. Application aux nombres normaux
Dimension d'ensembles plans définis par des propriétés des développements des coordonnées
Discrépance de suites associées à un système de numération (en dimension s)
Discrépances de suites associées à un système de numération (en dimension un)
Discrepancy estimates for a class of normal numbers
Discrepancy of normal numbers
Distribution of digits in integers: fractal dimensions and zeta functions