Multi-dimensional versions of a formula of Popoviciu (Q2372523)
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| English | Multi-dimensional versions of a formula of Popoviciu |
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Multi-dimensional versions of a formula of Popoviciu (English)
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30 July 2007
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The Popoviciu formula counts the number of non-negative integer solutions to \(ax+by=n\). This work presents a formula for counting the non-negative integer solutions of \(s(s+1)\) linear diophantine equations.
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multivariate splines
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discrete truncated power
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linear Diophantine equations
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