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arXiv · 2212.11038

Generalised quadratic forms over totally real number fields

Tim Browning·Lillian B. Pierce·Damaris Schindler
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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.

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Tim Browning, Lillian B. Pierce, Damaris Schindler. 2022-12-21. Generalised quadratic forms over totally real number fields. https://doi.org/10.1017/s1474748024000161

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