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Arithmetic from an advanced perspective: an introduction to the Adeles

Here we offer an introduction to the adele ring over the field of rational numbers Q and highlight some of its beautiful algebraic and topological structure. We then apply this rich structure to revisit some ancient results of number theory and place them within this modern context as well as make some new observations. We conclude by indicating how this theory enables us to extend the basic arithmetic of Q to the more subtle, complicated, and interesting setting of an arbitrary number field.

Identiferoai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/95161
Date25 September 2017
CreatorsBurger, Edward B.
PublisherPontificia Universidad Católica del Perú
Source SetsPontificia Universidad Católica del Perú
LanguageEspañol
Detected LanguageEnglish
TypeArtículo
FormatPDF
SourcePro Mathematica; Vol. 24, Núm. 47-48 (2010); 149-195
RightsArtículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/

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