Generalised quadratic forms over totally real number fields
arXiv:2212.11038 · doi:10.1017/S1474748024000161
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.
50 pages