Remarques sur un théorème de G. Halász et A. Sárközy

DOI10.24033/bsmf.2129zbMath0704.11029OpenAlexW2301513729MaRDI QIDQ3483351

Michel Balazard

Publication date: 1989

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1989__117_4_389_0

zbMATH Keywords

upper and lower boundsnumber of prime factorsadditive function

Mathematics Subject Classification ID

Distribution of primes (11N05) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (4)

Upper bound of the local law for certain additive functions ⋮ Effective means for complex multiplicative functions ⋮ On the Sidon constant for Dirichlet polynomials ⋮ Monomial convergence for holomorphic functions on \(\ell_r\)

Cites Work

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• Distribution des valeurs de la fonction d'Euler. (Distribution of the values of Euler's function)
• On the number of prime factors of an integer
• On the small sieve. I. Sifting by primes
• On the number of restricted prime factors of an integer. I
• Remarks on a paper of G. Halasz
• Estimates for partial sums of the exponential series
• A theorem on integral-valued additive functions
• Quantitative mean value theorems for nonnegative multiplicative functions II
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Sur la distribution des nombres entiers ayant une quantité fixée de facteurs premiers
• Remarks to my paper “on the distribution of additive and the mean values of multiplicative arithmetic functions”
• On the difference between consecutive primes

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