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MathLinks Contest 4th
1.1
1.1
Part of
MathLinks Contest 4th
Problems
(1)
0411 polynomials 4th edition Round 1 p1
Source:
5/7/2021
Let
a
≥
2
a \ge 2
a
≥
2
be an integer. Find all polynomials
f
f
f
with real coefficients such that
A
=
{
a
n
2
∣
n
≥
1
,
n
∈
Z
}
⊂
{
f
(
n
)
∣
n
≥
1
,
n
∈
Z
}
=
B
.
A = \{a^{n^2} | n \ge 1, n \in Z\} \subset \{f(n) | n \ge 1, n \in Z\} = B.
A
=
{
a
n
2
∣
n
≥
1
,
n
∈
Z
}
⊂
{
f
(
n
)
∣
n
≥
1
,
n
∈
Z
}
=
B
.
algebra
polynomial
4th edition