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math.CA2024
The number of real zeros of polynomials with constrained coefficients
Tamás Erdélyi
We prove that there is an absolute constant such that every polynomial of the form $$P(z) = \sum_{j=0}^{n}{a_jz^j}\,, \quad |a_0| = 1\,, \quad |a_j| \leq M\,, \quad a_j…
math.CA2023
The norm of the Rudin-Shapiro polynomials on subarcs of the unit circle
Tamás Erdélyi
Littlewood polynomials are polynomials with each of their coefficients in . A sequence of Littlewood polynomials that satisfies a remarkable flatness property on the unit…