p-adic Numbers

  • Fernando Q. Gouvêa
Part of the Universitext book series (UTX)

Abstract

Having built our foundation, we can now apply the general theory to the specific case of the field ℚ of rational numbers. Extending our scope to include all fields of algebraic numbers (i.e., finite extensions of ℚ), or even to include what the experts call “global fields” in general, would not be very hard. Nevertheless, we have preferred to stick, at first, to the most concrete example available. In a later chapter, we will consider the problem of extending valuations from ℚ to larger fields.

Keywords

Coherence Dition Fermat Culmination 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Fernando Q. Gouvêa
    • 1
  1. 1.Department of Mathematics and Computer ScienceColby CollegeWatervilleUSA

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