The Hardy-Ramanujan and Halász inequalities for shifted primes

DOI10.1007/BF02304422zbMath0854.11046OpenAlexW2077083199MaRDI QIDQ1909790

Nikolaĭ Mikhaĭlovich Timofeev

Publication date: 20 May 1996

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02304422

zbMATH Keywords

number of prime factorssieve methodscounting functionsHalász inequalityHardy-Ramanujan inequality

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25) Arithmetic functions in probabilistic number theory (11K65)

Related Items (6)

On the difference of the number of prime divisors of consecutive numbers ⋮ On the counting function of irregular primes ⋮ Application of a Non-Conservativeness Criterion to the Lindblad Generator of the Azéma Martingale Semigroup ⋮ A Hardy-Ramanujan-type inequality for shifted primes and sifted sets ⋮ Anatomy of torsion in the CM case ⋮ On a multiplicative function on the set of shifted primes

Cites Work

• On the number of restricted prime factors of an integer. I
• Remarks on a paper of G. Halasz
• Гипотеза Эрдеша-Кубилюса о распределении значений аддитивных функций на последовательности сдвинутых простых чисел
• 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”
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