most citedCounting Isolated Roots of Trinomial Systems in the Plane and Beyond

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Counting Isolated Roots of Trinomial Systems in the Plane and Beyond

Tien-Yien Li, J. Maurice Rojas, Xiaoshen Wang

We prove that any pair of bivariate trinomials has at most 5 isolated roots in the positive quadrant. The best previous upper bounds independent of the polynomial degrees counted o…