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Turkey NMO 2004 P.4, A Function Problem
Turkey NMO 2004 P.4, A Function Problem
Source:
December 11, 2010
function
induction
algebra proposed
algebra
Problem Statement
Find all functions
f
:
Z
→
Z
f:\mathbb{Z}\to \mathbb{Z}
f
:
Z
→
Z
satisfying the condition
f
(
n
)
−
f
(
n
+
f
(
m
)
)
=
m
f(n)-f(n+f(m))=m
f
(
n
)
−
f
(
n
+
f
(
m
))
=
m
for all
m
,
n
∈
Z
m,n\in \mathbb{Z}
m
,
n
∈
Z
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