General Bilinear Forms In The Jacobi Symbol Over Hyperbolic Regions
Number Theory
2023-02-28 v2
Abstract
We study averages involving the Jacobi quadratic symbol in regions where the product is bounded by a large parameter. We show that these averages exhibit cancellation whenever the summation is restricted to square-free integers bounded away from the axes.
Cite
@article{arxiv.2208.14909,
title = {General Bilinear Forms In The Jacobi Symbol Over Hyperbolic Regions},
author = {Cameron Wilson},
journal= {arXiv preprint arXiv:2208.14909},
year = {2023}
}
Comments
Accepted for publication by Monatshefte f\"ur Mathematik