Shifted convolution sums and Eisenstein series formed with modular symbols
Number Theory
2013-08-27 v1
Abstract
The Fourier coefficient of a second order Eisenstein series is described as a shifted convolution sum. This description is used to obtain the spectral decomposition of and estimates for the shifted convolution sum.
Keywords
Cite
@article{arxiv.1308.5551,
title = {Shifted convolution sums and Eisenstein series formed with modular symbols},
author = {Nikolaos Diamantis and Roelof Bruggeman},
journal= {arXiv preprint arXiv:1308.5551},
year = {2013}
}