Geodesic
New and old results in resultant theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 2, pp. 222-257

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Resultants play an increasingly important role in modern theoretical physics: they appear whenever we have nonlinear (polynomial) equations, nonquadratic forms, or non-Gaussian integrals. Being a research subject for more than three hundred years, resultants are already quite well studied, and many explicit formulas, interesting properties, and unexpected relations are known. We present a brief overview of these results, from classical ones to those obtained relatively recently. We emphasize explicit formulas that could bring practical benefit in future physical research.
Keywords: resultant, non-Gaussian integral, nonlinear algebra.
Mots-clés : discriminant 
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A. Yu. Morozov; Sh. R. Shakirov. New and old results in resultant theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 2, pp. 222-257. http://geodesic.mathdoc.fr/item/TMF_2010_163_2_a1/