I am reading an article[1] that states:
Let k be a fixed local field. Then there is an integer q=p^r, where p is a fixed prime element of k and r is a positive integer, and a norm |.| on k such that for all x∈k we have |x|≥0 and for each x∈k\{0} we get |x|=q^m for some integer m. This norm is...