MathDB

Putnam 1955 B6

Source:

May 24, 2022

Putnam

Problem Statement

Prove: If

f(x) > 0

for all

x

and

f(x) \rightarrow 0

as

x \rightarrow \infty,

then there exists at most a finite number of solutions of

f(m) + f(n) + f(p) = 1

in positive integers

m, n,

and

p.