Rational Solutions of Underdetermined Polynomial Equations
Symbolic Computation
2016-08-03 v1 Commutative Algebra
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 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.
Cite
@article{arxiv.1608.00697,
title = {Rational Solutions of Underdetermined Polynomial Equations},
author = {Thomas Wolf and Chimaobi Amadi},
journal= {arXiv preprint arXiv:1608.00697},
year = {2016}
}
Comments
11 pages