On \(L\)-functions of cyclotomic function fields

DOI10.1016/j.jnt.2005.04.007zbMath1094.11044arXivmath/0502130OpenAlexW1977269456MaRDI QIDQ818054

Bruno Anglès

Publication date: 24 March 2006

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

Full work available at URL: https://arxiv.org/abs/math/0502130

zbMATH Keywords

divisor class group

Mathematics Subject Classification ID

Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (4)

On a problem à la Kummer-Vandiver for function fields ⋮ On some questions related to the Gauss conjecture for function fields ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ Infinite families of irregular primes in cyclotomic function fields

Cites Work

• Kummer's theory for function fields
• Class-groups of function fields
• The Riemann Hypothesis for the Goss zeta function for \(\mathbb{F}_q[T\)]
• Applications of non-Archimedean integration to the \(L\)-series of \(\tau\)-sheaves
• Endomorphisms of Abelian varieties over finite fields
• Explicit Class Field Theory for Rational Function Fields
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