MathDB
Putnam 1971 B6

Source:

April 6, 2022
college contests

Problem Statement

Let δ(x)\delta (x) be the greatest odd divisor of the positive integer xx. Show that n=1xδ(n)/n2x/3<1,| \sum_{n=1}^x \delta (n)/n -2x/3| <1, for all positive integers x.x.