Moyennes de certaines fonctions multiplicatives sur les entiers friables

DOI10.1515/crll.2003.087zbMath1195.11132OpenAlexW2022594390MaRDI QIDQ4435753

Gérald Tenenbaum, Jie Wu

Publication date: 18 November 2003

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2003.087

zbMATH Keywords

integers without large prime factorsmultiplicative arithmetic functionasymptotic behaviour of the summatory function

Mathematics Subject Classification ID

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

Related Items (22)

Covering systems in number fields ⋮ Two generalisations of the Titchmarsh divisor problem ⋮ Large sums of Hecke eigenvalues of holomorphic cusp forms ⋮ On the bias of a probability law for brittle integers ⋮ Means of some arithmetical functions on shifted smooth numbers in arithmetic progression ⋮ DDT theorem over square-free numbers in short interval ⋮ On the friable mean-value of the Erdős-Hooley delta function ⋮ The first negative coefficients of symmetric square \(L\)-functions ⋮ A density theorem on automorphic $L$-functions and some applications ⋮ The number of coefficients of automorphic \(L\)-functions for \(\mathrm{GL}_m\) of same signs ⋮ Special values of symmetric power \(L\)-functions and Hecke eigenvalues ⋮ Distribution laws of divisors of friable integers ⋮ Average distribution of certain arithmetic functions on the set of integers without large prime factors ⋮ Twisted moments of automorphic \(L\)-functions ⋮ Nicolaas Govert de Bruijn, the enchanter of friable integers ⋮ Primes in arithmetic progressions with friable indices ⋮ On local laws for the number of small prime factors ⋮ Distribution Laws of Smooth Divisors ⋮ Smooth arithmetical sums over k-free integers ⋮ Distribution of values at 1 of symmetric power $L$-functions of Maass cusp forms ⋮ Counting fundamental solutions to the Pell equation with prescribed size ⋮ Mean distribution law for the divisors of friable integers

Cites Work

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• Sur Les Lois Locales De La Répartition Du k -Ième Diviseur D'un Entier
• LOCAL DENSITIES OVER INTEGERS FREE OF LARGE PRIME FACTORS
• Entiers Sans Grand Facteur Premier En Progressions Arithmetiques
• Répartition Statistique Des Entiers Sans Grand Facteur Premier Dans Les Progressions Arithmétiques

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