Wilson, C. (2023) General bilinear forms in the Jacobi symbol over hyperbolic regions. Monatshefte für Mathematik, (doi: 10.1007/s00605-023-01848-9) (Early Online Publication)
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Abstract
We study averages involving the Jacobi quadratic symbol (nm) 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.
| Item Type: | Articles |
|---|---|
| Status: | Early Online Publication |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Wilson, Cameron |
| Authors: | Wilson, C. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Monatshefte für Mathematik |
| Publisher: | Springer |
| ISSN: | 0026-9255 |
| ISSN (Online): | 1436-5081 |
| Published Online: | 04 April 2023 |
| Copyright Holders: | Copyright © 2023 The Author |
| First Published: | First published in Monatshefte für Mathematik 2023 |
| Publisher Policy: | Reproduced under a Creative Commons License |
| Related URLs: |
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