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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.NT2024
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials (II)
Tamás Erdélyi
We prove that there is an absolute constant such that for every there are…