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https://doi.org/10.1007/978-1-...
Part of book or chapter of book . 1990 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
https://doi.org/10.1007/978-1-...
Part of book or chapter of book . 1982 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1007/978...
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Algebraic Number Theory

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1982Publisher:Springer New York
Authors: Kenneth Ireland; Michael Rosen;

doi: 10.1007/978-1-4757-1779-2_12 , 10.1007/978-1-4757-2103-4_12

Algebraic Number Theory

Abstract

In this chapter we shall introduce the concept of an algebraic number field and develop its basic properties. Our treatment will be classical, developing directly only those aspects that will be needed in subsequent chapters. The study of these fields, and their interaction with other branches of mathematics forms a vast area of current research. Our objective is to develop as much of the general theory as is needed to study higher-power reciprocity. The reader who is interested in a more systematic treatment of these fields should consult any one of the standard texts on this subject, e.g., Ribenboim [207], Lang [168], Goldstein [140], Marcus [183].

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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!
8
Average
Top 10%
Average
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