Open Access
December 2011 On multiple exponential sums and their applications
H.-Q Liu
Funct. Approx. Comment. Math. 45(2): 155-163 (December 2011). DOI: 10.7169/facm/1323705812


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.


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H.-Q Liu. "On multiple exponential sums and their applications." Funct. Approx. Comment. Math. 45 (2) 155 - 163, December 2011.


Published: December 2011
First available in Project Euclid: 12 December 2011

zbMATH: 1278.11079
MathSciNet: MR2895153
Digital Object Identifier: 10.7169/facm/1323705812

Primary: 11L07

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

Rights: Copyright © 2011 Adam Mickiewicz University

Vol.45 • No. 2 • December 2011
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