Distribution of digits of primes in \(q\)-ary canonical form

DOI10.1007/BF01953972zbMath0603.10041OpenAlexW2045876364MaRDI QIDQ1082367

Imre Kátai

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01953972

zbMATH Keywords

asymptotic formulasnumber of primes\(q\)-ary expansiondistribution of \(q\)-additive functionsfixed digitsset of primes

Mathematics Subject Classification ID

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

Related Items (11)

Number theory -- probabilistic, heuristic, and computational approaches ⋮ A Proof of the Generalized Second-Limit Theorem in the Theory of Probability ⋮ On (Not) Computing the Möbius Function Using Bounded Depth Circuits ⋮ PROPRIÉTÉS LOCALES DES CHIFFRES DES NOMBRES PREMIERS ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ Distribution of \(q\)-additive functions on the set of primes ⋮ Irreducible polynomials with several prescribed coefficients ⋮ On the linear combination of \(q\)-additive functions at prime places ⋮ On a problem of Gelfond: the sum of digits of prime numbers ⋮ Primes with an average sum of digits ⋮ Prime numbers in two bases

Cites Work

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• The Brauer-Manin Obstruction and III[2]
• A Proof of the Generalized Second-Limit Theorem in the Theory of Probability
• On prime numbers in an arithmetic progression with a prime-power difference
• Sur les fonctions q-additives ou q-multiplicatives

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