Indices in a Number Field
Copyright policy ) Ayad, Mohamed; Bouchenna, Rachid; Kihel, Omar;
Indices in a Number Field
Let K be a number field, A be its ring of integers and p be a prime number. In this paper, we define a function μ K ( p ) which counts the number of θ ¯ ∈ A / p A such that the index of θ is divisible by p . We give as well an explicit formula for it. Moreover, we show that the value of μ K ( p ) determines in some cases the splitting type of p in K .
common factor of indices., Algebraic numbers; rings of algebraic integers, Dedekind theorem
common factor of indices., Algebraic numbers; rings of algebraic integers, Dedekind theorem
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).2 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.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
selected citations
Citations provided by BIP!
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).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 2
Average
Average
Average
gold
Fields of Science