Asymptotic estimates for a class of summatory functions

DOI10.1006/jnth.1997.2218zbMath0917.11045OpenAlexW2056237347MaRDI QIDQ1267305

U. Balakrishnan, Yves-François S. Pétermann

Publication date: 20 July 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2aab1476b4943bbb98a15cf76e38985e8c0bccc6

zbMATH Keywords

Riemann zeta functionsum of divisorsarithmetical functionsgenerating Dirichlet seriesDirichlet convolutionGegenbauer functionsasymptotic formulaeasymptotic expansions with remainder termDirichlet's \(L\)-seriesgeneralized Euler functionmean estimates of error terms

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other Dirichlet series and zeta functions (11M41)

Related Items

Asymptotic evaluations for some double sums in number theory

Cites Work

• On an estimate of Walfisz and Saltykov for an error term related to the Euler function
• On an error term of Chowla. I--III
• A New Method in Arithmetical Functions and Contour Integration
• 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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