Asymptotics of class number and genus for abelian extensions of an algebraic function field

DOI10.1016/j.jnt.2012.05.016zbMath1317.11118arXiv1102.5070OpenAlexW1971208721MaRDI QIDQ452382

Kenneth A. Ward

Publication date: 21 September 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5070

zbMATH Keywords

finite fieldclass numberasymptoticgenusabelian extensioncongruence function field

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Cites Work

• On towers and composita of towers of function fields over finite fields
• Lectures on the theory of algebraic functions of one variable
• Der Primdivisorsatz für algebraische Funktionenkörper über einem endlichen Konstantenkörper
• On the theory of congruence function fields
• Explicit Class Field Theory for Rational Function Fields
• THE BRAUER–SIEGEL THEOREM
• On the Zeta-Functions of Algebraic Number Fields
• On the Zeta-Functions of Algebraic Number Fields II
• Number of divisor classes in algebraic function fields
• Some remarks on the theory of cyclotomic function fields
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