GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS

Authors

Browning, T; Pierce, LB; Schindler, D

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.

Citation

Browning, T., L. B. Pierce, and D. Schindler. “GENERALISED QUADRATIC FORMS OVER TOTALLY REAL NUMBER FIELDS.” Journal of the Institute of Mathematics of Jussieu, January 1, 2024. https://doi.org/10.1017/S1474748024000161.

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