Mean values of L-functions and relative class numbers of cyclotomic fields

Stéphane Louboutin

Type: Article

Publication Date: 2011-04-01

Citations: 11

DOI: https://doi.org/10.5486/pmd.2011.4882

View Publication

Locations

Publicationes Mathematicae Debrecen - View
HAL (Le Centre pour la Communication Scientifique Directe) - View

Similar Works

Action	Title	Year	Authors
+	Dedekind sums, mean square value of L-functions at s = 1 and upper bounds on relative class numbers. A survey and open problems	2019	Stéphane Louboutin
+ PDF Chat	Upper bounds on relative class numbers of cyclotomic fields	2014	Stéphane Louboutin
+	Mean value of L-functions and the number of classes of a cyclotomic field	1988	I. Sh. Slavutskii
+ PDF Chat	On the relative class number of cyclotomic function fields	2003	Hwanyup Jung Jae-Hyun Ahn
+ PDF Chat	Dedekind Sums, Mean Square Value of $L$-Functions at $s=1$ and Upper Bounds on Relative Class Numbers	2016	Stéphane Louboutin
+	Mean square value of $L$-functions at $s=1$ for non-primitive characters, Dedekind sumsand bounds on relative class numbers	2022	Stéphane Louboutin
+	Bounds for class numbers of cyclotomic function fields.	2000	Joseph John Palen
+	Explicit upper bounds for residues of Dedekind zeta functions and values of L-functions at s=1, and explicit lower bounds for relative class numbers of CM-fields (Abridged version) (解析的整数論とその周辺)	2000	Stéphane Louboutin
+	Mean square values of $L$-functions over subgroups for non primitive characters, Dedekind sums and bounds on relative class numbers	2022	Stéphane Louboutin Marc Munsch
+ PDF Chat	Class numbers of cyclotomic function fields	2002	Sunghan Bae Pyung-Lyun Kang
+	<i>L</i>-functions and the class number of cyclotomic fields	1988	I. Sh. Slavutskii
+ PDF Chat	On proportional constants of the mean value of class numbers of quadratic extensions	2007	Takashi Taniguchi
+	Class numbers of cyclotomic fields	1985	Gary Cornell Lawrence C. Washington
+	Small Class Numbers and Extreme Values of L-Functions of Quadratic Fields	1977	Duncan A. Buell
+	Explicit Bounds for Residues of Dedekind Zeta Functions, Values of L-Functions at s=1, and Relative Class Numbers	2000	Stéphane Louboutin
+	Explicit upper bounds for residues of Dedekind zeta functions and values of $L$-functions at $s=1$, and explicit lower bounds for relative class numbers of CM-fields (Abridged version) (Analytic Number Theory and Related Topics)	2000	Stéphane Louboutin
+ PDF Chat	On the size of determinants in the class number formulae of cyclotomic function fields	2020	D. Aoyama Iwao Kimura
+	On proportional constants of the mean value of class numbers of quadratic extensions	2004	Takashi Taniguchi
+	On the class numbers of cyclotomic fields	1989	Kuniaki Horie
+ PDF Chat	A mean-value theorem for class numbers of quadratic extensions	1993	Boris A. Datskovsky

Works That Cite This (10)

Action	Title	Year	Authors
+	Infinite families of cyclotomic function fields with any prescribed class group rank	2020	Jinjoo Yoo Yoonjin Lee
+	Mean values of L -functions and Dedekind sums	2012	Abdelmejid Bayad Abdelaziz Raouj
+ PDF Chat	The first factor of the class number of the p-th cyclotomic field	2014	Korneel Debaene
+ PDF Chat	Dedekind Sums, Mean Square Value of $L$-Functions at $s=1$ and Upper Bounds on Relative Class Numbers	2016	Stéphane Louboutin
+ PDF Chat	Upper bounds on relative class numbers of cyclotomic fields	2014	Stéphane Louboutin
+	Analytic estimates of class numbers and relative class numbers	2015	Korneel Debaene
+ PDF Chat	TWISTED QUADRATIC MOMENTS FOR DIRICHLET L-FUNCTIONS	2015	Stéphane Louboutin
+	Mean square value of $L$-functions at $s=1$ for non-primitive characters, Dedekind sumsand bounds on relative class numbers	2022	Stéphane Louboutin
+	A twisted quadratic moment for Dirichlet $L$-functions	2014	Stéphane Louboutin
+ PDF Chat	Mean square values of <i>L</i>-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers	2023	Stéphane Louboutin Marc Munsch

Works Cited by This (3)

Action	Title	Year	Authors
+ PDF Chat	An exact formula for an average of $L$-series	1982	Herbert Walum
+ PDF Chat	On the First Factor of the Class Number of a Cyclotomic Field	1982	Keqin Feng
+	Cyclotomic fields with unique factorization.	1976	J.Myron Masley Hough L. Montgomery