Some analytic bounds for zeta functions and class numbers

DOI10.1007/BF02139701zbMath0474.12009OpenAlexW2055000659MaRDI QIDQ1159235

Jeffrey Hoffstein

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186139

zbMATH Keywords

class numberdiscriminanttotally real fieldresidue of zeta functiontotally complex quadratic extension

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Totally real fields (11R80)

Related Items (14)

The class number one problem for some non-abelian normal CM-fields of degree 48 ⋮ Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields ⋮ CM-fields with cyclic ideal class groups of 2-power orders ⋮ The CM-fields with class number one which are Hilbert class fields of quadratic fields ⋮ Class number one problem for normal CM-fields ⋮ Some analytic bounds for zeta functions and class numbers ⋮ On Artin's conjecture and the class number of certain CM fields. I,II ⋮ Dihedral CM fields with class number one ⋮ The class number one problem for some non-abelian normal CM-fields ⋮ Lower Bounds for Relative Class Numbers of CM-Fields ⋮ Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results ⋮ CM-fields with relative class number one ⋮ An explicit CM type norm formula and effective nonvanishing of class group \(L\)-functions for CM fields ⋮ Nonrational Hilbert modular threefolds

Cites Work

• 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
• Unnamed Item
• Unnamed Item

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