On arithmetic functions related to consecutive divisors

DOI10.1016/0022-314X(89)90075-9zbMath0676.10030OpenAlexW2010458176WikidataQ106092247 ScholiaQ106092247MaRDI QIDQ1122621

Gérald Tenenbaum

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(89)90075-9

zbMATH Keywords

upper estimatedistribution functionerror termconsecutive divisorsestimates from above

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Special sequences and polynomials (11B83) Distribution of primes (11N05) Arithmetic functions in probabilistic number theory (11K65)

Related Items (7)

Two \(S\)-unit equations with many solutions ⋮ Erdős and the integers ⋮ On a class of arithmetic functions related to the divisors of an integer ⋮ On the number of divisors which are values of a polynomial ⋮ On the normal concentration of divisors, 2 ⋮ Systèmes de points, diviseurs et structure fractale ⋮ Une inégalité de Hilbert pour les diviseurs. (A Hilbert inequality for divisors)

Cites Work

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• On the set of divisors of an integer
• Sur la structure de la suite des diviseurs d'un entier. (On the structure of the séquence of divisors of an integer)
• On the Distance Between Consecutive Divisors of an Integer
• LOCAL DENSITIES OVER INTEGERS FREE OF LARGE PRIME FACTORS
• Un problème de probabilité conditionnelle en arithmétique
• A Brun-Titschmarsh theorem for multiplicative functions.

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