Generalised quadratic forms over totally real number fields
Number Theory
2024-11-20 v1
Abstract
We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy-Littlewood circle method over number fields.
Cite
@article{arxiv.2212.11038,
title = {Generalised quadratic forms over totally real number fields},
author = {Tim Browning and Lillian B. Pierce and Damaris Schindler},
journal= {arXiv preprint arXiv:2212.11038},
year = {2024}
}
Comments
50 pages