Sur un problème de crible et ses applications

DOI10.24033/asens.1502zbMath0599.10037OpenAlexW2598677601MaRDI QIDQ3734507

Gérald Tenenbaum

Publication date: 1986

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1986_4_19_1_1_0

zbMATH Keywords

divisor functionpractical numberslinear sievesmall sieve

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Sieves (11N35)

Related Items (22)

Integers with dense divisors ⋮ Sur un problème de crible et ses applications. II. Corrigendum et étude du graphe divisoriel ⋮ The number of prime factors of integers with dense divisors ⋮ Integers with dense divisors 3 ⋮ The mean number of divisors for rough, dense and practical numbers ⋮ Polynomials with divisors of every degree ⋮ On the degrees of polynomial divisors over finite fields ⋮ Somewhat smooth numbers in short intervals ⋮ A SIEVE PROBLEM AND ITS APPLICATION ⋮ Study of the divisor graph. IV ⋮ Integers with dense divisors. II ⋮ On the constant factor in several related asymptotic estimates ⋮ Variations on a question concerning the degrees of divisors of \(x^{n}-1\) ⋮ A generalization of the practical numbers ⋮ Integers with dense divisors. II ⋮ Practical numbers in Lucas sequences ⋮ An extension of the Siegel-Walfisz theorem ⋮ Unnamed Item ⋮ On integers $n$ for which $X^n-1$ has a divisor of every degree ⋮ Practical numbers among the binomial coefficients ⋮ Practical central binomial coefficients ⋮ On primes and practical numbers

Cites Work

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• On the small sieve. I. Sifting by primes
• On the small sieve. II: Sifting by composite numbers
• On the number of restricted prime factors of an integer. I
• On the distribution function of additive functions
• On practical numbers
• Lois De Répartition Des Diviseurs, 5
• Integers Free From Large and Small Primes
• On the size of prime factors of integers
• On some Properties of Prime Factors of Integers
• Remarks to my paper “on the distribution of additive and the mean values of multiplicative arithmetic functions”
• Sums of Distinct Divisors

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