Explicit Approximations to Class Field Towers

Frauke M Bleher; Ted Chinburg

doi:10.48550/arxiv.2301.05673

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Explicit Approximations to Class Field Towers

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Explicit Approximations to Class Field Towers

Frauke M Bleher and Ted Chinburg

ArXiv.org

01/13/2023

DOI: 10.48550/arxiv.2301.05673

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https://doi.org/10.48550/arxiv.2301.05673View

Preprint (Author's original) This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We answer a question of Peikert and Rosen by giving for each $\epsilon > 0$ an efficient construction of infinite families of number fields $N$ such that the root discriminant $D_N^{1/[N:\mathbb{Q}]}$ is bounded above by a constant times $[N:\mathbb{Q}]^\epsilon$.

Mathematics - Number Theory

Details

Title: Subtitle: Explicit Approximations to Class Field Towers
Creators: Frauke M Bleher
Ted Chinburg
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2301.05673
ISSN: 2331-8422
Language: English
Date posted: 01/13/2023
Academic Unit: Mathematics
Record Identifier: 9984359603202771

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