Sur un problème extrémal en arithmétique. (On an extremal problem in arithmetic)

DOI10.5802/aif.1083zbMath0622.10030OpenAlexW2318123129MaRDI QIDQ1090703

Gérald Tenenbaum

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_2_1_0

zbMATH Keywords

arithmetic functionsconsecutive divisors in small ratiomultiplicative structure of integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Arithmetic functions in probabilistic number theory (11K65)

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Sur le nombre des entiers sans grand facteur premier. (On the number of integers without large prime factor) ⋮ Distribution laws of divisors of friable integers ⋮ Length and denominators of Egyptian fractions. III ⋮ Gaps between consecutive divisors of factorials

Cites Work

• Integers with consecutive divisors in small ratio
• Sur la structure de la suite des diviseurs d'un entier. (On the structure of the séquence of divisors of an integer)
• On Integers Free of Large Prime Factors
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