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Independent relative units of low height

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Akhtari,  Shabnam
Max Planck Institute for Mathematics, Max Planck Society;

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Vaaler,  Jeffrey D.
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Akhtari, S., & Vaaler, J. D. (2022). Independent relative units of low height. Acta Arithmetica, 202(4), 389-401. doi:10.4064/aa210714-20-12.


Cite as: https://hdl.handle.net/21.11116/0000-000A-5854-5
Abstract
We prove inequalities that compare the relative regulator of an extension of
number fields with a product of heights of multiplicatively independent
relative units.