On Artin's conjecture and the class number of certain CM fields. I,II

DOI10.1215/S0012-7094-89-05925-5zbMath0711.11042WikidataQ123235062 ScholiaQ123235062MaRDI QIDQ922590

Naomi Jochnowitz, Jeffrey Hoffstein

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

zero-free regionanalytic estimates on class numbers of CM fields

Mathematics Subject Classification ID

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

Related Items (4)

Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ On Artin's conjecture and the class number of certain CM fields. I,II ⋮ Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results ⋮ ON STARK’S CLASS NUMBER CONJECTURE AND THE GENERALISED BRAUER–SIEGEL CONJECTURE

Cites Work

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• On Artin's conjecture and the class number of certain CM fields. I,II
• Heegner points and derivatives of \(L\)-series
• Some analytic bounds for zeta functions and class numbers
• Lower bounds for discriminants of number fields. II
• Some effective cases of the Brauer-Siegel theorem
• On the Siegel-Tatuzawa theorem
• Some analytic estimates of class numbers and discriminants

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