Independent relative units of low height

Shabnam Akhtari; Jeffrey D. Vaaler

doi:10.4064/aa210714-20-12

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Independent relative units of low height

Volume 202 / 2022

Shabnam Akhtari, Jeffrey D. Vaaler Acta Arithmetica 202 (2022), 389-401 MSC: 11J25, 11R04, 46B04. DOI: 10.4064/aa210714-20-12 Published online: 16 March 2022

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.

Authors

Shabnam AkhtariDepartment of Mathematics
University of Oregon
Eugene, OR 97403, USA
e-mail
Jeffrey D. VaalerDepartment of Mathematics
University of Texas
Austin, TX 78712, USA
e-mail

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Publishing house / Journals and Serials / Acta Arithmetica / All issues

Acta Arithmetica

Independent relative units of low height

Volume 202 / 2022

Abstract

Authors

Search for IMPAN publications

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