Olga G. Balkanova, Dmitry A. Frolenkov, “On the binary additive divisor problem”, Trudy Mat. Inst. Steklova, 2017, Volume 299,Pages <nobr>50

This article is cited in 2 papers

On the binary additive divisor problem

Olga G. Balkanova^a, Dmitry A. Frolenkov^b

^a Department of Mathematics and Statistics, University of Turku, Turku 20014, Finland
^b Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We show that the methods of Motohashi and Meurman yield the same upper bound on the error term in the binary additive divisor problem. To this end, we improve an estimate in the proof of Motohashi.

Keywords: additive divisor problem, hypergeometric function.

UDC: 511.3+517.588

MSC: 11N37

Received: November 28, 2016

DOI: 10.1134/S0371968517040021