Lifting-the-exponent lemma

In elementary number theory, the lifting-the-exponent lemma (or LTE lemma) provides several formulas for computing the p-adic valuation ν p {\displaystyle \nu _{p}} of binomial expressions which are differences of powers of integers: that is, how many factors of a prime p {\displaystyle p} are present. The lemma describes the steps necessary to "lift" the exponent of p {\displaystyle p} in such expressions.

Source: Wikipedia — Lifting-the-exponent lemma (CC BY-SA 4.0)

Lifting-the-exponent lemma

In elementary number theory, the lifting-the-exponent lemma (or LTE lemma) provides several formulas for computing the p-adic valuation ν p {\displaystyle \nu _{p}} of binomial expressions which are differences of powers of integers: that is, how many factors of a prime p {\displaystyle p} are present. The lemma describes the steps necessary to "lift" the exponent of p {\displaystyle p} in such expressions.

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Source: Wikipedia "Lifting-the-exponent lemma" · CC BY-SA 4.0

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