Open Access
December 2013 On the four-dimensional divisor problem of $(a,b,c,c)$ type
Xiaodong Cao, Wenguang Zhai
Funct. Approx. Comment. Math. 49(2): 251-267 (December 2013). DOI: 10.7169/facm/2013.49.2.5

Abstract

In this paper we study the four-dimensional divisor problem of $(a,b,c,c)$ type, where $1\leq a\leq b<c$ are fixed integers. Our theorems improve some classical results. As an application, we study the error term of the summatory function of the exponential totient function.

Citation

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Xiaodong Cao. Wenguang Zhai. "On the four-dimensional divisor problem of $(a,b,c,c)$ type." Funct. Approx. Comment. Math. 49 (2) 251 - 267, December 2013. https://doi.org/10.7169/facm/2013.49.2.5

Information

Published: December 2013
First available in Project Euclid: 20 December 2013

zbMATH: 1288.11090
MathSciNet: MR3161494
Digital Object Identifier: 10.7169/facm/2013.49.2.5

Subjects:
Primary: 11N37

Keywords: divisor function , error term , exponential divisor , exponential sum

Rights: Copyright © 2013 Adam Mickiewicz University

Vol.49 • No. 2 • December 2013
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