The number of real zeros of polynomials with constrained coefficients

Tamás Erdélyi

We prove that there is an absolute constant $c>0$ such that every polynomial $P$ of the form $$P(z) = \sum_{j=0}^{n}{a_jz^j}\,, \quad |a_0| = 1\,, \quad |a_j| \leq M\,, \quad a_j…