Multi-dimensional versions of a formula of Popovi- ciu
نویسنده
چکیده
In this paper, an explicit formulation for multivariate truncated power functions of degree one is given firstly. Based on multivariate truncated power functions of degree one, an formulation is presented which counts the number of non-negative integer solutions of s × (s + 1)linear Diophantine equations and it can be considered as a multidimensional versions of the formula counting the number of non-negative integer solutions of ax + by = n which is given by Popoviciu in 1953.
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