7 citations · 19 across the 4 of their papers we have counts for
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math.AG2002★ 3 cited
Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces
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 were much…
math.NT2002
Additive Complexity and the Roots of Polynomials Over Number Fields and p-adic Fields
J. Maurice Rojas
Consider any nonzero univariate polynomial with rational coefficients, presented as an elementary algebraic expression (using only integer exponents). Letting sigma(f) denotes the…