A note on the local conjoint laws of the function number of prime factors

DOI10.1016/J.JNT.2018.01.005zbMath1441.11246OpenAlexW2963045956MaRDI QIDQ1708069

Gérald Tenenbaum

Publication date: 4 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.01.005

zbMATH Keywords

number of prime factorsadditive functionspolynomial valuesshifted integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (5)

Sommes courtes de certaines fonctions multiplicatives ⋮ Karatsuba's divisor problem and related questions ⋮ Simultaneous concentrations of additive functions ⋮ A Hardy-Ramanujan-type inequality for shifted primes and sifted sets ⋮ Multiplicative functions in large arithmetic progressions and applications

Cites Work

• Sur une question d'Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II)
• Short sums of certain arithmetic functions
• Nair–Tenenbaum uniform with respect to the discriminant–ERRATUM
• On the Number of Solutions of Polynomial Congruences and Thue Equations
• Lois locales de la fonction ω dans presque tous les petits intervalles
• On the Sum ∑k=1xd(f(k))

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