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p-adic power series

  • Neal Koblitz
Chapter
  • 2.9k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 58)

Abstract

Recall that in a metric space whose metric comes from a non-Archimedean norm ∥ ∥, a sequence is Cauchy if and only if the difference between adjacent terms approaches zero; and if the metric space is complete, an infinite sum converges if and only if its general term approaches zero.

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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Neal Koblitz
    • 1
  1. 1.Department of Mathematics GN-50University of WashingtonSeattleUSA

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