Class number growth of a family of \(\mathbb{Z}_p\)-extensions over global function fields

DOI10.1006/jabr.1997.7233zbMath0901.11033OpenAlexW2064709867MaRDI QIDQ1383949

Chaoqun Li, Jianqiang Zhao

Publication date: 29 November 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7233

zbMATH Keywords

global function fieldgenus\(\mathbb{Z}_p\)-extensionsclass number growth

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29)

Related Items (1)

Genus growth in $\mathbb {Z}_p$-towers of function fields

Cites Work

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• The Hilbert class field in function fields
• On geometric \({\mathbb{Z}}_ p\)-extensions of function fields
• Fourier series, measures and divided power series in the theory of function fields
• On decomposition law in Carlitz-Kummer function fields
• On the theory of congruence function fields
• Explicit Class Field Theory for Rational Function Fields
• Class numbers of cyclotomic function fields

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