p-adic norm

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English[edit]

Noun[edit]

p-adic norm (plural p-adic norms)

  1. (number theory) A norm for the set of rational numbers, with prime number p as parameter, which is defined for some rational number x as: p to the power of the negative p-adic ordinal of x.[1]

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References[edit]

  1. ^ 2011, Andrew Baker, An Introduction to p-adic Numbers and p-adic Analysis, Definition 2.5