Let
and
be two relatively prime elements of an Euclidean domain
.
(You may think
or
.)
Let
be such that
.
For every
there exists
such that
 |
(1) |
where a convenient
is given by
 |
(2) |
Therefore, for every
the system
of equations
 |
(3) |
has a solution.
Marc Moreno Maza
2008-01-31