MathDB
Putnam 1949 A3

Source: Putnam 1949

March 20, 2022
Putnamcomplex numbersseries

Problem Statement

Assume that the complex numbers a1,a2,…a_1 , a_2, \ldots are all different from 00, and that ∣ar−as∣>1|a_r - a_s| >1 for r≠s.r\ne s. Show that the series ∑n=1∞1an3\sum_{n=1}^{\infty} \frac{1}{a_{n}^{3}} converges.
Back to ProblemsView on AoPS