On systems of algebraic equations with parametric exponents

Authors:
Kazuhiro Yokoyama
Affiliations:
Kyushu University, Higashiku, Fukuoka, Japan
Venue:
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
Year:
2004

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Abstract

We deal with systems of algebraic equations with parametric exponents. As the first step for solving such systems,we consider the most simple cases, univariate case and 0-dimensional case, and give a concrete method for computing Gröbner bases. From studies on such cases, we derive a simple formulation and basic notions which will be helpful to deal with more complicated cases.