From the Ideal Theorem to the class number

DOI10.4153/s0008439523000425arXiv2207.11763OpenAlexW4378378023WikidataQ122740602 ScholiaQ122740602MaRDI QIDQ6060883

Olivier Bordellès

Publication date: 6 November 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.11763

zbMATH Keywords

class numberDedekind zeta-functionIdeal Theorem

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

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• A mean value theorem for quadratic fields
• Arithmetic tales. Advanced edition
• The approximate functional equation for a class of zeta-functions
• On the number of integral ideals in a number field
• On the order of Dedekind Zeta-functions near the line σ = 1
• Explicit Upper Bounds for Residues of Dedekind Zeta Functions and Values ofL-Functions ats= 1, and Explicit Lower Bounds for Relative Class Numbers of CM-Fields
• On the class numbers of totally imaginary quadratic extensions of totally real fields
• Explicit bounds for residues of Dedekind zeta functions, values of \(L\)-functions at \(s=1\), and relative class numbers

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