User:RobHar/Sandbox3

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History edit

Basic notions edit

Branches of algebraic number theory edit

Major results edit

Open questions edit

Non-abelian class field theory
Special values of L-functions

Birch-Swinnerton-Dyer
Bloch-Kato
Iwasawa "main conjectures"

Relation to other fields edit

Notes edit

References edit

Graduate level accounts edit

Cassels, J. W. S.; Frölich, Albrecht, eds. (1967), Algebraic number theory, London: Academic Press, MR 0215665
Fröhlich, Albrecht; Taylor, Martin J. (1993), Algebraic number theory, Cambridge Studies in Advanced Mathematics, vol. 27, Cambridge University Press, ISBN 0-521-43834-9, MR 1215934
Lang, Serge (1994), Algebraic number theory, Graduate Texts in Mathematics, vol. 110 (2 ed.), New York: Springer-Verlag, ISBN 0-387-94225-4, MR 1282723
Neukirch, Jürgen (1999). Algebraische Zahlentheorie. Grundlehren der mathematischen Wissenschaften. Vol. 322. Berlin: Springer-Verlag. ISBN 978-3-540-65399-8. MR 1697859. Zbl 0956.11021.