A multiple Abel summation formula and asymptotic evaluations for multiple sums

DOI10.1142/S1793042118500732zbMath1410.11116OpenAlexW2771129577MaRDI QIDQ4639975

Dumitru Popa, Magdalena Bănescu

Publication date: 15 May 2018

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

Full work available at URL: https://doi.org/10.1142/s1793042118500732

zbMATH Keywords

summatory functionmultiple Abel summation formula

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Rate of growth of arithmetic functions (11N56)

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Cites Work

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• New extensions of some classical theorems in number theory
• A double Mertens type evaluation
• Pólya-Radoux type results for some arithmetical functions
• An elementary proof of the prime-number theorem
• On a theorem of Selberg and generalizations
• Asymptotic evaluations for some double sums in number theory

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