On the shifted convolution problem in mean

Details On the shifted convolution problem in mean On the shifted convolution problem in mean

2012-02-17

arxiv.org/abs/1202.3906v2

Mathematics

Number Theory

21 pages. arXiv admin note: text overlap with arXiv:1110.3950 . <- The mentioned overlap appears in the introduction and in th

Scientific paper

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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