Difference between revisions of "1996 IMO Problems/Problem 3"

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==Solution==
 
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==See Also==
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{{IMO box|year=1996|num-b=2|num-a=4}}
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[[Category:Olympiad Geometry Problems]]
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[[Category:3D Geometry Problems]]

Latest revision as of 16:33, 20 November 2023

Problem

Let $S$ denote the set of nonnegative integers. Find all functions $f$ from $S$ to itself such that

$f(m+f(n))=f(f(m))+f(n)$ $\forall m,n \in S$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See Also

1996 IMO (Problems) • Resources
Preceded by
Problem 2
1 2 3 4 5 6 Followed by
Problem 4
All IMO Problems and Solutions