Abstract
By an algebraic number-field, it is customary to understand a finite algebraic extension of Q. One main object of this book, and of number-theory in general, is to study algebraic number-fields by means of their embeddings into local fields. In the last century, however, it was discovered that the methods by which this can be done may be applied with very little change to certain fields of charac-teristic p>1; and the simultaneous study of these two types of fields throws much additional light on both of them.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1967 Springer-Verlag Berlin · Heidelberg
About this chapter
Cite this chapter
Weil, A. (1967). Places of A-fields. In: Basic Number Theory. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00046-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-662-00046-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-00048-9
Online ISBN: 978-3-662-00046-5
eBook Packages: Springer Book Archive