On the linear combination of \(q\)-additive functions at prime places

DOI10.1007/s10474-007-6125-3zbMath1193.11074OpenAlexW1989150974MaRDI QIDQ955194

Imre Kátai

Publication date: 19 November 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-6125-3

zbMATH Keywords

q-additive functionarithmetic function classesq-multiplicative functiontight sequence

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05) Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60)

Cites Work

• Distribution of digits of primes in \(q\)-ary canonical form
• Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. II
• Distribution of the values of \(q\)-additive functions on polynomial sequences
• Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. I
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