LOCAL DENSITIES OVER INTEGERS FREE OF LARGE PRIME FACTORS

DOI10.1093/qmath/37.4.401zbMath0604.10024OpenAlexW2069546563WikidataQ106092352 ScholiaQ106092352MaRDI QIDQ3741669

Aleksandar Ivić, Gérald Tenenbaum

Publication date: 1986

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4cc300d2f9da1cb179d2e8e230d1b7e84de80ec4

zbMATH Keywords

local densitiesintegers free of large prime factorsarithmetic functions with squarefull kernel

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of primes (11N05)

Related Items (15)

On the Average Number of Groups of Square-Free Order ⋮ Sur le nombre des entiers sans grand facteur premier. (On the number of integers without large prime factor) ⋮ On arithmetic functions related to consecutive divisors ⋮ On certain kernel functions and shifted convolution sums of the Fourier coefficients ⋮ Higher power moments of shifted convolutions of Fourier coefficients involving squarefull kernel functions ⋮ An extension of a result about divisors in a residue class and its application to reducing integer factorization to computing Euler’s totient ⋮ On the greatest common divisor of a number and its sum of divisors ⋮ Friable integers: Turán-Kubilius inequality and applications ⋮ Two contradictory conjectures concerning Carmichael numbers ⋮ A low complexity probabilistic test for integer multiplication ⋮ Moyennes de certaines fonctions multiplicatives sur les entiers friables ⋮ Shifted convolution sums of Fourier coefficients with squarefull kernel functions ⋮ Statistical properties of friable integers ⋮ Sums of Fourier coefficients of holomorphic cusp forms over integers without large prime factors ⋮ Integers without large prime factors

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