New and Old Results in Resultant Theory

Understand

Resultants are getting increasingly important in modern theoretical physics: they appear whenever one deals with non-linear (polynomial) equations, with non-quadratic forms or with non-Gaussian integrals.

• Being a subject of more than three-hundred-year research, resultants are of course rather well studied: a lot of explicit formulas, beautiful properties and intriguing relationships are known in this field.
• We present a brief overview of these results, including both recent and already classical.
• Emphasis is made on explicit formulas for resultants, which could be practically useful in a future physics research.