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4
pmo problem 4
pmo problem 4
Source: PMO
March 19, 2021
number theory
algebra
polynomial
PMO
Problem Statement
Determine the set of all polynomials
P
(
x
)
P(x)
P
(
x
)
with real coefficients such that the set
{
P
(
n
)
∣
n
∈
Z
}
\{P(n) | n \in \mathbb{Z}\}
{
P
(
n
)
∣
n
∈
Z
}
contains all integers, except possibly finitely many of them.
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