MathDB
there is one that differs from an integer by at most 1/n

Source: Eotvos 1928 p1

September 10, 2024
number theoryalgebrainequalities

Problem Statement

Prove that, among the positive numbers a,2a,...,(nāˆ’1)a.a,2a, ...,(n - 1)a. there is one that differs from an integer by at most 1/n1/n.