On the set of divisors of an integer

DOI10.1007/BF01388495zbMath0536.10039OpenAlexW2113856480WikidataQ105836552 ScholiaQ105836552MaRDI QIDQ791574

Gérald Tenenbaum, Helmut Maier

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143119

zbMATH Keywords

upper boundlower boundHooley delta-functionpair of divisors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions in probabilistic number theory (11K65)

Related Items (23)

On Behrend sequences ⋮ Effective mean value estimates for complex multiplicative functions ⋮ Ewens Sampling and Invariable Generation ⋮ Uniform upper bounds for the complex divisor function ⋮ Ω theorems for the complex divisor function ⋮ On arithmetic functions related to consecutive divisors ⋮ Unnamed Item ⋮ Equal sums in random sets and the concentration of divisors ⋮ Divisor-bounded multiplicative functions in short intervals ⋮ Two upper bounds for the Erdős-Hooley delta-function ⋮ Erdős and the integers ⋮ On block Behrend sequences ⋮ On the set of divisors of Gaussian integers ⋮ On the number of divisors which are values of a polynomial ⋮ Maass Waveforms and Low-Lying Zeros ⋮ Mesures quadratiques de la proximité des diviseurs ⋮ Invariable generation of finite classical groups ⋮ On the normal concentration of divisors, 2 ⋮ On the proximity of divisors of integers ⋮ Sets of multiples of finite sequences ⋮ Systèmes de points, diviseurs et structure fractale ⋮ Une inégalité de Hilbert pour les diviseurs. (A Hilbert inequality for divisors) ⋮ Les ensembles de multiples et la densité divisorielle. (Sets of multiples and divisor density)

Cites Work

• Sur la structure de la suite des diviseurs d'un entier. (On the structure of the séquence of divisors of an integer)
• On a result of R. R. Hall
• The average orders of Hooley's Δ _r ‐functions
• The Propinquity of Divisors
• On the Average and Normal Orders of Hooley's Δ-Function
• Sums of Imaginary Powers of the Divisors of Integers
• On a New Technique and Its Applications to the Theory of Numbers
• On the density of some sequences of integers
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