Last Updated：2025/12/07

(number theory) A lemma used to calculate the p-adic order of differences and sums of perfect powers.

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lifting the exponent

Source Word

lifting the exponent

uncountable

(number theory) A lemma used to calculate the p-adic order of differences and sums of perfect powers.

Japanese Meaning

（数論）完全累乗数の差や和のp進数における指数（p進オーダー）の計算に使用される補題。

Lifting the exponent is a useful lemma for computing p-adic valuations of differences and sums of perfect powers.

指数を持ち上げる補題は、べき乗の差や和のp進評価を計算するのに役立つ有用な補題だ。

Sense（1）

(number theory) A lemma used to calculate the p-adic order of differences and sums of perfect powers.