Functiones et Approximatio Commentarii Mathematici

On multiple exponential sums and their applications

H.-Q Liu

Full-text: Open access

Abstract

We prove new estimates for the remainder terms in the known asymptotic formulas for three famous problems, by using the contemporary bounds for triple exponential sums.

Article information

Source
Funct. Approx. Comment. Math., Volume 45, Number 2 (2011), 155-163.

Dates
First available in Project Euclid: 12 December 2011

Permanent link to this document
https://projecteuclid.org/euclid.facm/1323705812

Digital Object Identifier
doi:10.7169/facm/1323705812

Mathematical Reviews number (MathSciNet)
MR2895153

Zentralblatt MATH identifier
1278.11079

Subjects
Primary: 11L07: Estimates on exponential sums

Keywords
multiple exponential sums direct factors of abelian groups squarefree divisor problem primitive circle problem

Citation

Liu, H.-Q. On multiple exponential sums and their applications. Funct. Approx. Comment. Math. 45 (2011), no. 2, 155--163. doi:10.7169/facm/1323705812. https://projecteuclid.org/euclid.facm/1323705812


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