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Asymptotics of class number and genus for abelian extensions of an algebraic function field
- Source :
- Journal of Number Theory. 132:2491-2498
- Publication Year :
- 2012
- Publisher :
- Elsevier BV, 2012.
-
Abstract
- Among abelian extensions of a congruence function field, an asymptotic relation of class number and genus is established. The proof is classical, employing well-known results from congruence function field theory.<br />11 pages
- Subjects :
- Abelian extension
Algebra and Number Theory
Genus
Mathematics - Number Theory
Non-abelian class field theory
Mathematics::Number Theory
Local class field theory
Congruence function field
Finite field
Algebraic number field
Principal ideal theorem
Combinatorics
Mathematics - Algebraic Geometry
11R58 (Primary), 11G20 (Secondary)
Abelian variety of CM-type
Field extension
Class field theory
FOS: Mathematics
Asymptotic
Genus field
Number Theory (math.NT)
Algebraic Geometry (math.AG)
Class number
Mathematics
Subjects
Details
- ISSN :
- 0022314X
- Volume :
- 132
- Database :
- OpenAIRE
- Journal :
- Journal of Number Theory
- Accession number :
- edsair.doi.dedup.....dfac6eaada9efcd6deb4de6cda730b2e
- Full Text :
- https://doi.org/10.1016/j.jnt.2012.05.016