Integral Solutions to Linear Indeterminate Equation

preprint2011arXivOpen access

Abstract

In this paper, using Euler's function, we give a formula of all integral solutions to linear indeterminate equation with ss-variables a1x1+a2x2+...+asxs=na_1x_1+a_2x_2+...+a_sx_s=n. It is a explicit formula of the coefficients a1a_1, a2a_2,..., asa_s and the free term nn.

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