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Baltic Way
1997 Baltic Way
1
1
Part of
1997 Baltic Way
Problems
(1)
f(x)f(y)=f(x-y) for reals x,y
Source: Baltic Way 1997
1/28/2011
Determine all functions
f
f
f
from the real numbers to the real numbers, different from the zero function, such that
f
(
x
)
f
(
y
)
=
f
(
x
ā
y
)
f(x)f(y)=f(x-y)
f
(
x
)
f
(
y
)
=
f
(
x
ā
y
)
for all real numbers
x
x
x
and
y
y
y
.
function
algebra proposed
algebra