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Journal of Number Theory
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Journal of Number Theory
Article . 2013
License: Elsevier Non-Commercial
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Article . 2011
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On a problem à la Kummer–Vandiver for function fields

On a problem à la Kummer-Vandiver for function fields
Authors: Anglès, Bruno; Taelman, Lenny;

On a problem à la Kummer–Vandiver for function fields

Abstract

We use Artin-Schreier base change to construct counterexamples to a Kummer-Vandiver type question for function fields.

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Keywords

Carlitz module, 11G09, 12A35, Kummer-Vandiver conjecture, Algebra and Number Theory, Arithmetic theory of algebraic function fields, Mathematics - Number Theory, FOS: Mathematics, cyclotomic function field, Number Theory (math.NT), Drinfel'd modules; higher-dimensional motives, etc., cyclotomic character

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
hybrid
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