Improved upper bounds for the star discrepancy of digital nets in dimension 3
Improvements of the discrepancy of the van der Corput sequence.
Improvements on the star discrepancy of (t,s)-sequences
Incomplete character sums and a special class of permutations
We present a method of bounding incomplete character sums for finite abelian groups with arguments produced by a first-order recursion. This method is particularly effective if the recursion involves a special type of permutation called an -orthomorphism. Examples of -orthomorphisms are given.
Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators
Indépendance statistique d'ensembles liés à la fonction « Somme des chiffres »
Indépendance statistique d'ensembles liés à la fonction "somme des chiffres"
Indépendance statistique d'ensembles liés à la fonction «somme des chiffres»
Indépendance statistique et nombres de Pisot.
Indépendance statistique, somme des chiffres, mesure spectrale
Induzierte Maße bei Lürothschen Reihen.
Induzierte Maße bei zahlentheoretischen Transformationen.
Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function
We prove that the Lebesgue measure of the set of real points which are inhomogeneously Ψ-approximable by polynomials, where Ψ is not necessarily monotonic, is zero.
Integers in number systems with positive and negative quadratic Pisot base
We consider numeration systems with base β and − β, for quadratic Pisot numbers β and focus on comparing the combinatorial structure of the sets Zβ and Z− β of numbers with integer expansion in base β, resp. − β. Our main result is the comparison of languages of infinite words uβ and u− β coding the ordering of distances between consecutive β- and (− β)-integers. It turns out that for a class of roots β of x2 − mx − m, the languages coincide, while for other quadratic Pisot numbers the language...
Intersecting random translates of invariant Cantor sets.
Intersections d'ensembles normaux
Interval Exchange Transformations.
Intervalles à restes majorés pour la suite . II
Introduction aux exposés sur l'équirépartition
Introduction to Liouville Numbers
The article defines Liouville numbers, originally introduced by Joseph Liouville in 1844 [17] as an example of an object which can be approximated “quite closely” by a sequence of rational numbers. A real number x is a Liouville number iff for every positive integer n, there exist integers p and q such that q > 1 and [...] It is easy to show that all Liouville numbers are irrational. Liouville constant, which is also defined formally, is the first transcendental (not algebraic) number. It is...