On a problem à la Kummer-Vandiver for function fields

DOI10.1016/j.jnt.2012.02.008zbMath1285.11138arXiv1110.0292OpenAlexW2963715857MaRDI QIDQ1932375

Lenny Taelman, Bruno Anglès

Publication date: 18 January 2013

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

Full work available at URL: https://arxiv.org/abs/1110.0292

zbMATH Keywords

cyclotomic characterCarlitz moduleKummer-Vandiver conjecturecyclotomic function field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (3)

Aspects of Iwasawa theory over function fields ⋮ Fermat versus Wilson congruences, arithmetic derivatives and zeta values ⋮ Arithmetic of characteristic p special L-values

Cites Work

• Unnamed Item
• A Herbrand-Ribet theorem for function fields
• Kummer's theory for function fields
• On \(L\)-functions of cyclotomic function fields
• Class-groups of function fields
• Log-algebraicity of twisted \(A\)-harmonic series and special values of \(L\)-series in characteristic \(p\)
• Irregular primes to 163 million

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