Bounds on shifted convolution sums for Hecke eigenforms
Number Theory
2021-12-21 v2
Abstract
Shifted convolution sums play a prominent r\^ole in analytic number theory. We investigate pointwise bounds, mean-square bounds, and average bounds for shifted convolution sums for Hecke eigenforms.
Keywords
Cite
@article{arxiv.2103.01248,
title = {Bounds on shifted convolution sums for Hecke eigenforms},
author = {Asbjorn Christian Nordentoft and Yiannis N. Petridis and Morten S. Risager},
journal= {arXiv preprint arXiv:2103.01248},
year = {2021}
}
Comments
22 pages. Final version to appear in Research in Number Theory!