Sur la répartition jointe de la représentation d'Ostrowski dans les classes de résidue

2020/06/12 by M. Amri, Amri, Myriam, Lukas Spiegelhofer +3
Computer Science · Mathematics · #11A37 #11J71 #11N05 #Advanced Topology and Set Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2006.06960

openalex publication_date 2020/06/12 · openalex created_date 2020/06/19 · openalex updated_date 2026/07/28

Abstract

For two distinct integers m₁,m₂≥2, we set α₁=[0;1,m₁] and α₂=[0;1,m₂] and we denote by S_α1(n) and S_α2(n) respectively the sum of digits functions in the Ostrowski α₁ and α₂-representations of n. Let b₁,b₂ be positive integers satisfying (b₁,m₁)=1 and (b₂,m₂)=1, we obtain an estimation with an error term O(N^1-δ) for the cardinal of the following set \ 0≤ n

Related

• Joint distribution in residue classes of the base-q and Ostrowski\n digital sums
• On the representation of an integer in Ostrowski and recurrence numeration systems
• Pseudorandomness of the Ostrowski sum-of-digits function
• Settling some sum suppositions
• Sums of the digits in bases 2 and 3