On the sum of exponential divisors of an integer

DOI10.1023/A:1006596009566zbMath0902.11037OpenAlexW1963284279MaRDI QIDQ1271954

Yves-François S. Pétermann, Jie Wu

Publication date: 22 November 1998

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006596009566

zbMATH Keywords

asymptotic formulaarithmetic functions\(O\)-estimateexponential divisor\(\Omega\)-estimate

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

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On the four-dimensional divisor problem of \((a,b,c,c)\) type ⋮ Mean value estimates of gcd and lcm-sums ⋮ On a weighted mean square result of the error terms of some arithmetical functions ⋮ Exponential and infinitary divisors ⋮ On the asymptotic behavior of sums ∑n≤xf(n){x/n}k ⋮ Some generalizations of the functions \(\tau\) and \(\tau^{(e)}\) in algebraic number fields ⋮ On a sum involving the sum-of-divisors function ⋮ On an estimate of Walfisz and Saltykov for an error term related to the Euler function ⋮ On a generalisation of Bordellès-Dai-Heyman-Pan-Shparlinski's conjecture

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