Lois locales de la fonction ω dans presque tous les petits intervalles

DOI10.1112/plms.12048zbMath1392.11074arXiv1607.08666OpenAlexW3126109568MaRDI QIDQ5362968

Élie Goudout

Publication date: 5 October 2017

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08666

zbMATH Keywords

asymptotic behaviourshort intervalSelberg-Delange methodoptimal resultprime divisorlocal distributionfriable integer\(\omega\) function

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (6)

Level of distribution of quadratic polynomials and an upper bound sieve for friable integers ⋮ Simultaneous concentrations of additive functions ⋮ A note on the local conjoint laws of the function number of prime factors ⋮ Théorème d’Erdős–Kac dans presque tous les petits intervalles ⋮ A Hardy-Ramanujan-type inequality for shifted primes and sifted sets ⋮ Additive functions in short intervals, gaps and a conjecture of Erdős

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