Real zeros of Dedekind zeta functions

DOI10.1142/S1793042115500463zbMath1322.11118OpenAlexW2064470701MaRDI QIDQ5248580

Stéphane R. Louboutin

Publication date: 8 May 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042115500463

zbMATH Keywords

Siegel zerosreal zerosDedekind zeta-functionsextic fieldsrelative class-number

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

An explicit upper bound for the least prime ideal in the Chebotarev density theorem ⋮ Upper bounds on $L(1,\chi )$ taking into account a finite set of prime ideals ⋮ Simple zeros of Dedekind zeta functions ⋮ An elementary bound on Siegel zeroes ⋮ Upper bounds on residues of Dedekind zeta functions of non-normal totally real cubic fields

Cites Work

• The class number one problem for some non-normal CM-fields of degree \(2p\)
• Some effective cases of the Brauer-Siegel theorem
• The class number one problem for some non-abelian normal CM-fields of degree 24
• Some explicit upper bounds for residues of zeta functions of number fields taking into account the behavior of the prime \(2\)
• EXPLICIT ZERO-FREE REGIONS FOR DEDEKIND ZETA FUNCTIONS
• On Real Zeros of Dedekind ζ-Functions
• Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields
• Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields
• THE BRAUER–SIEGEL THEOREM
• The zeros of the Riemann zeta-function

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