Independent relative units of low height

2020/08/13 by Shabnam Akhtari, Akhtari, Shabnam, Jeffery D. Vaaler +1
Mathematics · #11C20 #11G50 #11H06 #11R29 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2008.06124

openalex publication_date 2020/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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