An application of exponential sums over the divisor function

Tippawan Puttasontiphot
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 4, Pages 134–142
DOI: 10.7546/nntdm.2019.25.4.134-142
Full paper (PDF, 167 Kb)

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Authors and affiliations

Tippawan Puttasontiphot
Department of Mathematics Statistics and Computer Science,
Faculty of Liberal Arts and Science, Kasetsart University
Kamphaengsan Campus, Nakhonphathom 73140, Thailand

Abstract

We apply the rational exponential sums over the divisor function to estimate the average of some arithmetic functions. The method of proof relies on the classic Abel’s summation formula.

Keywords

• Average order
• Divisor function
• Exponential sums

2010 Mathematics Subject Classification

• 11L07
• 11N69

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