On Multiple Shifted Convolution Sums
Number Theory
2023-10-11 v1
Abstract
We prove strong estimates for averages of shifted convolution sums consisting of quadratic twists of -functions. The key input involves the circle method together with standard tools such as Vorono\u{\i}, quadratic reciprocity, amplification, and divisor switching.
Keywords
Cite
@article{arxiv.2310.06345,
title = {On Multiple Shifted Convolution Sums},
author = {Ikuya Kaneko},
journal= {arXiv preprint arXiv:2310.06345},
year = {2023}
}
Comments
20 pages. LaTeX2e