On an estimate of Walfisz and Saltykov for an error term related to the Euler function

DOI10.5802/jtnb.225zbMath0917.11047OpenAlexW2076321714MaRDI QIDQ1273187

Yves-François S. Pétermann

Publication date: 23 June 1999

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1998__10_1_203_0

zbMATH Keywords

sum of divisorsasymptotic formulae for the Euler function with remainder termestimation of exponential sums with primesmultiplicative arithmetical functionsWalfisz method

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (4)

On the error term of a lattice counting problem ⋮ Formulas for the number of gridlines ⋮ Jordan totient quotients ⋮ Asymptotic estimates for a class of summatory functions

Cites Work

• The average order of an arithmetic function
• On the sum of exponential divisors of an integer
• Estimates for trigonometric sums by Vinogradov's method, and some applications
• Über die Wirksamkeit einiger Abschätzungen trigonometrischer Summen
• The Dirichlet series of $ζ(s)ζ^α(s+1)f(s+1)$: On an error term associated with its coefficients
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