Questions tagged [diophantine-equation]
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How do you solve a general linear diophantine equation in polynomial time (with minimization constraint)?
Given
$$
a_1 X_1 + \dots + a_n X_n = b
$$
where $a_i, b \in \Bbb{Z}$. How do you come up with a clearer picture of the solution set in polynomial time.
Also, what I really want is to do the above,...
1
vote
2answers
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Multivariate polynomials
Given a Diophantine equation $p(x_1,x_2,...,x_n)$,
Can I find a reduction from $\text{dioph}(\mathbb{N}) \leq \text{dioph}(\mathbb{N}_e)$?
$\mathbb{N}_e$ is the set of even numbers.
So I have to ...