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Published online by Cambridge University Press: 24 October 2008
Let ℚp and ℤp respectively denote the p-adic numbers and the p-adic integers for a fixed prime number p. For any subset Y of and n ∈ ℕ we denote by Nn(Y) the cardinality of the image of Y under the natural map
. (Thus we have Nn(Y)≤ pnr.)