On the shifted convolution problem in mean
Number Theory
2012-06-14 v3
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.
Keywords
Cite
@article{arxiv.1202.3906,
title = {On the shifted convolution problem in mean},
author = {Eeva Suvitie},
journal= {arXiv preprint arXiv:1202.3906},
year = {2012}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:1110.3950 . <- The mentioned overlap appears in the introduction and in the section concerning the needed notation and auxiliary, known lemmas, not in the proofs :)