Independent relative units of low height

Akhtari, Shabnam; Vaaler, Jeffrey D.

doi:10.4064/aa210714-20-12

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学術論文

Independent relative units of low height

MPS-Authors

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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;

External Resource

https://doi.org/10.4064/aa210714-20-12
(出版社版)

https://doi.org/10.48550/arXiv.2008.06124
(プレプリント)

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引用

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

引用: https://hdl.handle.net/21.11116/0000-000A-5854-5

要旨

We prove inequalities that compare the relative regulator of an extension of
number fields with a product of heights of multiplicatively independent
relative units.