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1999 IMC
2
IMC 1999 / A2
IMC 1999 / A2
Source: IMC 1999 day 1 problem 2
July 29, 2005
inequalities
rearrangement inequality
IMC
college contests
Problem Statement
Does there exist a bijective map
f
:
N
→
N
f:\mathbb{N} \rightarrow \mathbb{N}
f
:
N
→
N
so that
∑
n
=
1
∞
f
(
n
)
n
2
\sum^{\infty}_{n=1}\frac{f(n)}{n^2}
∑
n
=
1
∞
n
2
f
(
n
)
is finite?
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