Last Updated：2025/11/22

(number theory) An element of a completion of the field of rational numbers with respect to a p-adic ultrametric.

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p-adic number

Source Word

p-adic number

(number theory) An element of a completion of the field of rational numbers with respect to a p-adic ultrametric.

Japanese Meaning

p進数：p進距離に基づき有理数体を完備化して得られる数。

方程式を解析するために、彼は各p進数をその位相における有理数の極限として扱った。

Sense（1）

(number theory) An element of a completion of the field of rational numbers with respect to a p-adic ultrametric.

The expansion (21)2121ₚ is equal to the rational p-adic number 2p+1/p²-1.

p-adic numbers

（ plural ）