General bilinear forms in the Jacobi symbol over hyperbolic regions

We study averages involving the Jacobi quadratic symbol ( n m ) in regions where the product mn 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.

Saved in:
Bibliographic Details
Published in:Monatshefte für Mathematik 2023-10, Vol.202 (2), p.435-451
Main Author: Wilson, Cameron
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study averages involving the Jacobi quadratic symbol ( n m ) in regions where the product mn 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.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-023-01848-9