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arXiv · 1202.3906

On the shifted convolution problem in mean

Eeva Suvitie
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Abstract

We study a mean value of the shifted convolution problem over the Hecke eigenvalues of a fixed non-holomorphic cusp form. We attain a result also for a weighted case. Furthermore, we point out that the proof yields analogous upper bounds for the shifted convolution problem over the Fourier coefficients of a fixed holomorphic cusp form in mean.

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Eeva Suvitie. 2012-06-13. On the shifted convolution problem in mean. https://doi.org/10.1016/j.jnt.2012.03.007

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