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arXiv · 1608.00697

Rational Solutions of Underdetermined Polynomial Equations

Thomas Wolf·Chimaobi Amadi
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Abstract

In this paper we report on an application of computer algebra in which mathematical puzzles are generated of a type that had been widely used in mathematics contests by a large number of participants worldwide. The algorithmic aspect of our work provides a method to compute rational solutions of single polynomial equations that are typically large with $10^2 \ldots 10^5$ terms and that are heavily underdetermined. This functionality was obtained by adding modules for a new type of splitting of equations to the existing package CRACK that is normally used to solve polynomial algebraic and differential systems.

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Thomas Wolf, Chimaobi Amadi. 2016-08-02. Rational Solutions of Underdetermined Polynomial Equations. https://arxiv.org/abs/1608.00697

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