Estimating the number of real zeros of linear combinations of radicals of polynomials

Gal Binyamini, Avner Kiro, Alexander Logunov +2

We obtain upper bounds for the number of real zeros of functions of the form $$f(x)=\sum _{k=1}^n{c}_k(P_k(x){)}^{{\alpha }_k},$$ where $c_k,{\alpha }_k\in \mathbb{R}$ and each $P_k…