On the asymptotic behavior of sums ∑n≤xf(n){x/n}k

DOI10.1142/S1793042120500657zbMath1456.11148OpenAlexW2996896980MaRDI QIDQ3295470

Liuying Wu, Sanying Shi

Publication date: 10 July 2020

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

Full work available at URL: https://doi.org/10.1142/s1793042120500657

zbMATH Keywords

exponential sumsfractional part

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37)

Cites Work

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• Arithmetic tales. Transl. from the French by Véronique Bordellès
• Fractional parts of the function \(x/n\)
• On the asymptotic behaviour of sums \(\sum g(n)\{x/n\}^ k\)
• Sums containing the fractional parts of numbers
• On the sum of exponential divisors of an integer
• On the equation \(n_{1}n_{2}=n_{3}n_{4}\) and mean value of character sums
• VAN DER CORPUT'S METHOD AND THE THEORY OF EXPONENT PAIRS

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