# Lower Bounds for Regulators of Number Fields

13 Aug 2020  ·  Akhtari Shabnam, Vaaler Jeffery D. ·

We prove inequalities that compare the regulator of a number field with its absolute discriminant. We also prove inequalities that compare the the relative regulator of an extension $l/k$ of number fields with a product of heights of multiplicatively independent relative units...

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Number Theory