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Proceedings of the Japan Academy. Series A
Article . 1987 . Peer-reviewed
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Proceedings of the Japan Academy. Series A
Article
License: implied-oa
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Project Euclid
Other literature type . 1987
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https://dx.doi.org/10.3792/pja...
Other literature type
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The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1987Publisher:Project EuclidJournal:Proceedings of the Japan Academy, Series A, Mathematical Sciences, volume 63 (issn: 0386-2194, Copyright policy )
Authors: Katayama, Shin-ichi;

doi: 10.3792/pjaa.63.27

The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields

Abstract

The author obtains relations between the Euler number of finite Galois extensions of number fields, class numbers of algebraic tori, central class numbers, genus numbers and other arithmetical invariants.

Related Organizations
Keywords

11R32, 11E72, Euler number, Galois extensions of number fields, Galois cohomology, Class numbers, class groups, discriminants, genus numbers, Class field theory, central class numbers, algebraic tori

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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!
1
Average
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Average
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