On a sum involving small arithmetic functions

DOI10.1142/S1793042122501044zbMath1502.11088OpenAlexW4280500659WikidataQ114071794 ScholiaQ114071794MaRDI QIDQ5094204

Zhai, Wenguang

Publication date: 2 August 2022

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

Full work available at URL: https://doi.org/10.1142/s1793042122501044

zbMATH Keywords

asymptotic formulaexponential sumbinary additive divisor functionsmall arithmetic function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Gauss and Kloosterman sums; generalizations (11L05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Pjateckii-Sapiro prime number theorem
• The square sieve and consecutive square-free numbers
• Correlated sums of \(r(n)\)
• On a sum involving the Mangoldt function
• On a sum involving the divisor function
• A variant of the prime number theorem
• The fractional sum of small arithmetic functions
• Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski
• On a sum involving the Euler totient function
• Square-free values of n²+1
• The Fourth Power Moment of the Riemann Zeta Function
• The binary additive divisor problem
• ON SOME ESTIMATES INVOLVING THE BINARY ADDITIVE DIVISOR PROBLEM
• On a sum involving the Euler function
• On a sum involving the Euler function
• The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I

This page was built for publication: On a sum involving small arithmetic functions