Integral Solutions to Linear Indeterminate Equation

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

In this paper, using Euler's function, we give a formula of all integral
solutions to linear indeterminate equation with $s$-variables
$a_1x_1+a_2x_2+...+a_sx_s=n$. It is a explicit formula of the coefficients
$a_1$, $a_2$,..., $a_s$ and the free term $n$.

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