On the binary additive divisor problem in mean

Details On the binary additive divisor problem in mean On the binary additive divisor problem in mean

2011-10-18

arxiv.org/abs/1110.3950v2

Mathematics

Number Theory

14 pages

Scientific paper

We study a mean value of the classical additive divisor problem. The main term we are interested in here is the one by Motohashi, but we also give an upper bound for the case where the main term is that of Atkinson. Furthermore, we point out that the proof yields an analogous upper bound for a shifted convolution sum over Fourier coefficients of a fixed holomorphic cusp form in mean.

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