On the distribution of integers with a fixed number of prime factors

DOI10.1007/BF03025713zbMath0788.11040OpenAlexW2052448475MaRDI QIDQ1319347

Dieter Wolke, Zhan, Tao

Publication date: 12 April 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174521

zbMATH Keywords

distribution of integers with fixed number of prime factorsmean value theorem of Bombieri-Vinogradov

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (12)

A Bombieri-type theorem for exponential sums ⋮ A generalization of the Siegel-Walfisz theorem and its application ⋮ On a ternary Diophantine inequality ⋮ A generalization of the Montgomery-Hooley theorem ⋮ A Barban-Davenport-Halberstam theorem for integers with fixed number of prime divisors ⋮ Estimate for exponential sums and its applications ⋮ On f(n) modulo Ω(n) and ω(n) when f is a polynomial ⋮ Some divisibilities amongst the terms of linear recurrences ⋮ On an almost-prime sieve ⋮ Erdős-Kac theorem for integer translates with \(k\) prime factors ⋮ On sums of three integers with a fixed number of prime factors ⋮ Multiplicative functions in large arithmetic progressions and applications

Cites Work

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• On the number of prime factors of an integer
• The Distribution of Round Numbers
• Entiers Sans Grand Facteur Premier En Progressions Arithmetiques
• Some problems of analytic number theory
• Bombieri's mean value theorem
• Davenport's theorem in short intervals

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