The genus fields of Artin–Schreier extensions

Su Hu, Yan Li

Type: Article

Publication Date: 2010-04-10

Citations: 25

DOI: https://doi.org/10.1016/j.ffa.2010.03.004

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Locations

arXiv (Cornell University) - PDF
Finite Fields and Their Applications - View

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+	Genus fields of abelian extensions of rational congruence function fields, II	2018	Jonny Fernando Barreto-Castañeda Carlos Montelongo-Vázquez Carlos Daniel Reyes-Morales Martha Rzedowski–Calderón Gabriel Villa–Salvador
+	On l-class groups of global function fields	2015	Zhengjun Zhao Wanbao Hu
+	Function field genus theory for non-Kummer extensions	2022	Martha Rzedowski–Calderón Gabriel Villa–Salvador
+ PDF Chat	Average values of L-functions in even characteristic	2017	Sunghan Bae Hwanyup Jung
+ PDF Chat	Genus fields of Kummer extensions of rational function fields	2021	Martha Rzedowski–Calderón Gabriel Villa–Salvador
+	Genus fields of congruence function fields	2016	Myriam Maldonado-Ramírez Martha Rzedowski–Calderón Gabriel Villa–Salvador
+	GENUS FIELDS OF CYCLIC l-EXTENSIONS OF RATIONAL FUNCTION FIELDS	2013	Victor Bautista-Ancona Martha Rzedowski–Calderón Gabriel Villa–Salvador
+ PDF Chat	AVERAGE OF CLASS NUMBERS OF SOME FAMILY OF ARTIN-SCHREIER EXTENSIONS OF RATIONAL FUNCTION FIELDS	2016	Hwanyup Jung
+	Capitulation problem for global function fields	2011	Yan Li Su Hu
+	Artin–Schreier extensions of the rational function field	2013	Sunghan Bae Hwanyup Jung Pyung-Lyun Kang

Works Cited by This (10)

Action	Title	Year	Authors
+	Algebraic Numbers and Algebraic Functions	1967	Emil Artin
+	Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichem Konstantenkörper.	1935	Helmut Hasse
+ PDF Chat	genus theory for function fields	1996	Sunghan Bae Ja Kyung Koo
+ PDF Chat	Zur Geschlechtertheorie in quadratischen Zahlkörpern	1951	Helmut Hasse
+	l-Class groups of cyclic function fields of degree l	2005	Christian Wittmann
+	Number Theory in Function Fields	2002	Michael Rosen
+ PDF Chat	Sur les $\ell$-classes d'idéaux dans les extensions cycliques relatives de degré premier $\ell$	1973	Georges Gras
+	The genus fields of Kummer function fields	2003	Guohua Peng
+	Arithmetischer Beweis des Satzes über die Anzahl der durch vier teilbaren Invarianten der absoluten Klassengruppe im quadratischen Zahlkörper.	1934	L. Rédei
+ PDF Chat	Sur les $\ell$-classes d'idéaux dans les extensions cycliques relatives de degré premier $\ell$	1973	Georges Gras