The p-adic norm is a function that assigns a non-negative value to each rational number based on its divisibility by a prime number p. This norm provides a way to measure the 'size' of numbers in the p-adic number system, emphasizing how close a number is to being divisible by p and allowing for a unique topology on the set of p-adic numbers.
congrats on reading the definition of p-adic norm. now let's actually learn it.