Sur les fonctions q-additives ou q-multiplicatives

DOI10.4064/aa-21-1-285-298zbMath0219.10062OpenAlexW1578879519MaRDI QIDQ5623776

Hubert Delange

Publication date: 1972

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205112

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Arithmetic functions in probabilistic number theory (11K65)

Related Items (38)

Distribution of digits of primes in \(q\)-ary canonical form ⋮ Uniform distribution of the weighted sum-of-digits functions ⋮ Dynamical directions in numeration ⋮ Sur certaines fonctions définies par les chiffres des entiers. (On certain functions defined by digits of integers) ⋮ The joint distribution of \(Q\)-additive functions on polynomials over finite fields ⋮ Approaching Cusick's conjecture on the sum-of-digits function ⋮ Asymptotic analysis of the moments of the Cantor distribution ⋮ Distribution results for low-weight binary representations for pairs of integers ⋮ Generalized number systems in Euclidean spaces ⋮ On the uniform distribution modulo one of subsequences of polynomial sequences. II ⋮ Sur certaines suites pseudo-aléatoires. III ⋮ Means of some arithmetical functions on shifted smooth numbers in arithmetic progression ⋮ On the normal number of prime factors of \(\varphi(n)\) subject to certain congruence conditions ⋮ On the order of magnitude of some arithmetical functions under digital constraint. I ⋮ Distribution of the sum-of-digits function of random integers: a survey ⋮ Répartition de suites polynomiales ⋮ Harmonic properties of some arithmetical sequences ⋮ The distribution of generalized sum-of-digits functions in residue classes ⋮ Orthonormal systems in spaces of number theoretical functions ⋮ Effective Erdős-Wintner theorems for digital expansions ⋮ On \(q\)-quasiadditive and \(q\)-quasimultiplicative functions ⋮ An almost-sure estimate for the mean of generalized \(Q\)-multiplicative functions of modulus 1 ⋮ The Zeckendorf expansion of polynomial sequences ⋮ On the counting function for the generalized Niven numbers ⋮ On the uniform distribution modulo one of some subsequences of polynomial sequences ⋮ Sur l'équirépartition des suites à croissance lente et des suites non décroissantes ⋮ Unnamed Item ⋮ On uniformity of q‐multiplicative sequences ⋮ Unnamed Item ⋮ On the joint distribution of \(q\)-additive functions in residue classes ⋮ A note on \(q\)-multiplicative functions ⋮ Möbius orthogonality for \(q\)-semimultiplicative sequences ⋮ Polynomial values in affine subspaces of finite fields ⋮ A summation formula related to the binary digits ⋮ \({\mathfrak M}\)-additive functions. I ⋮ Mesures spectrales de Walsh associées à certaines suites arithmétiques ⋮ On the distribution of \(q\)-additive functions ⋮ GAPS IN THE THUE–MORSE WORD

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