On a class of arithmetic functions related to the divisors of an integer

DOI10.1016/S0019-3577(00)80008-7zbMath0993.11049MaRDI QIDQ5935914

Régis de la Bretèche

Publication date: 28 June 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

counting function of divisors of integersErdős functionhypermultiplicativity of the maximum valueinjective regular functionmaximum valuenumber of consecutive coprime divisors of integersproximity of divisors of integersset of divisors of integersupper and lower bounds for the maximum value

Mathematics Subject Classification ID

Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (3)

Two \(S\)-unit equations with many solutions ⋮ On the number of divisors which are values of a polynomial ⋮ Some open questions

Cites Work

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• Une inégalité de Hilbert pour les diviseurs. (A Hilbert inequality for divisors)
• Multiplicative functions and small divisors. II
• On arithmetic functions related to consecutive divisors
• Values of the divisor function on short intervals
• Lexicographic integers

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