论文标题

完全真实的数字字段上的广义二次形式

Generalised quadratic forms over totally real number fields

论文作者

Browning, Tim, Pierce, Lillian B., Schindler, Damaris

论文摘要

我们在完全真实的数字字段上介绍了一类新的广义二次形式,该字段足够丰富,可以捕获对合理数字的任意四级系统的算术。我们通过hardy-littlewood圆圈方法在数字字段上探索这种连接。

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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