Generalised quadratic forms over totally real number fields

Fuente: arXiv
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Auteurs principaux: Browning, Tim, Pierce, Lillian B., Schindler, Damaris
Format: Preprint
Publié: 2022
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author Browning, Tim
Pierce, Lillian B.
Schindler, Damaris
author_facet Browning, Tim
Pierce, Lillian B.
Schindler, Damaris
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2212_11038
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Generalised quadratic forms over totally real number fields
Browning, Tim
Pierce, Lillian B.
Schindler, Damaris
Number Theory
11P55 (11D09, 14G05)
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.
title Generalised quadratic forms over totally real number fields
topic Number Theory
11P55 (11D09, 14G05)
url https://arxiv.org/abs/2212.11038