On the joint distribution of \(q\)-additive functions in residue classes

DOI10.1006/jnth.1998.2327zbMath0920.11067OpenAlexW2093260197MaRDI QIDQ1283819

Dong-Hyun Kim

Publication date: 1 June 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2327

zbMATH Keywords

residue classessum of digitsjoint distribution of \(q\)-additive functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers in special residue classes (11N69) Radix representation; digital problems (11A63) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (22)

On the joint subword complexity of automatic sequences ⋮ The joint distribution of \(Q\)-additive functions on polynomials over finite fields ⋮ Fonctions complètement $Q$-additives le long des polynômes irréductibles à coefficients dans un corps fini ⋮ Piatetski-Shapiro sequences via Beatty sequences ⋮ Regularity of patterns in the factorization of n! ⋮ Répartition des fonctions complètement $Q$-additives le long des carrés de polynômes sur un corps fini ⋮ Joint distribution of completely \(q\)-additive functions in residue classes ⋮ Weyl sums over integers with digital restrictions ⋮ On the prime power factorization of \(n\)! ⋮ On the prime power factorization of \(n\)! ⋮ An Erdős-Kac theorem for systems of \(q\)-additive functions ⋮ Unnamed Item ⋮ Additive functions for number systems in function fields ⋮ Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture ⋮ On the distribution properties of Niederreiter-Halton sequences ⋮ Prime-power factorization of binomial coefficients ⋮ Exponential sums involving q-digital functions ⋮ Power-free values of strongly \(q\)-additive functions ⋮ Prime numbers in two bases ⋮ The sum-of-digits-function and uniform distribution modulo 1 ⋮ Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski ⋮ Waring's problem with digital restrictions

Cites Work

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• On the joint distribution of digital sums
• Sur la singularité des produits de Riesz et des mesures spectrales associées à la somme des chiffres
• Sum of digits to different bases and mutual singularity of their spectral measures
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• Sur les fonctions q-additives ou q-multiplicatives
• Indépendance statistique d'ensembles liés à la fonction "somme des chiffres"

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