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arxiv: 1103.1418 · v1 · pith:IZSGBZJ2new · submitted 2011-03-08 · 🧮 math.AP

Integral Solutions to Linear Indeterminate Equation

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keywords equationformulaindeterminateintegrallinearsolutionscoefficientseuler
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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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