Explicit Lower bounds for residues at 𝑠=1 of Dedekind zeta functions and relative class numbers of CM-fields

Stéphane Louboutin

Type: Article

Publication Date: 2003-04-25

Citations: 24

DOI: https://doi.org/10.1090/s0002-9947-03-03313-0

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Transactions of the American Mathematical Society - View

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+	The class number one problem for the normal CM-fields of degree 32	2007	Sun‐Mi Park Heesun Yang Soun-Hi Kwon
+ PDF Chat	Explicit estimates for Artin L-functions: Duke's short-sum theorem and Dedekind zeta residues	2021	Stephan Ramon Garcia Ethan Simpson Lee
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+	Explicit upper bounds for values at s=1 of Dirichlet L-series associated with primitive even characters	2003	Stéphane Louboutin
+	The class number one problem for some non-normal CM-fields of degree 2 p	2012	Jeoung-Hwan Ahn Gérard Boutteaux Soun-Hi Kwon Stéphane Louboutin
+	Class number one problem for normal CM-fields	2006	Sun‐Mi Park Soun-Hi Kwon
+	On the generalizations of the Brauer-Siegel theorem	2009	Alexey Zykin
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Works Cited by This (46)

Action	Title	Year	Authors
+ PDF Chat	The imaginary quadratic fields of class number 4	1992	Steven Arno
+ PDF Chat	Über die Classenzahl quadratischer Zahlkörper	1935	Carl Ludwig Siegel
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+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington
+ PDF Chat	Approximate formulae for L(1,χ), II	2004	Olivier Ramaré
+	Some analytic estimates of class numbers and discriminants	1975	Andrew Odlyzko
+	Explicit Bounds for Residues of Dedekind Zeta Functions, Values of L-Functions at s=1, and Relative Class Numbers	2000	Stéphane Louboutin
+	The Non-normal Quartic CM-Fields and the Octic Dihedral CM-Fields with Relative Class Number Two	1999	Heesun Yang Soun-Hi Kwon
+ PDF Chat	On complex quadratic fields wth class-number two	1975	H. Stärk
+ PDF Chat	Lower bounds for relative class numbers of CM-fields	1994	Stéphane Louboutin