Friable averages of complex arithmetic functions

DOI10.7169/FACM/2113MaRDI QIDQ6619679

Régis de la Bretèche, Gérald Tenenbaum

Publication date: 16 October 2024

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functiondelay differential equationssaddle-point methodSelberg-Delange methodfriable integers

Mathematics Subject Classification ID

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

Cites Work

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• On the number of prime factors of integers without large prime divisors
• On a class of differential-difference equations arising in number theory
• Friable integers: Turán-Kubilius inequality and applications
• Remarques sur les moyennes des fonctions de Piltz sur les entiers friables
• An Erdös-Kac theorem for integers without large prime factors
• Sur les puissances de convolution de la fonction de Dickman
• A Brun-Titschmarsh theorem for multiplicative functions.
• Moyennes de certaines fonctions multiplicatives sur les entiers friables
• An Erd\H{o}s-Kac theorem for Smooth and Ultra-Smooth integers
• Moyennes de certaines fonctions multiplicatives sur les entiers friables, 2

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