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On successive minima of rings of algebraic integers

Authors: Jacques Martinet;

On successive minima of rings of algebraic integers

Abstract

We give an account of some largely experimental results about the successive minima of the ring of integers of an algebraic number field endowed with its canonical Euclidean norm. This throws light on some interesting facts which could be important for the algorithmic theory of number fields.

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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!
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