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Zero-free Taylor polynomial conjecture for square roots of truncated geometric series
Let $d>2$ and define the coefficients $b_k^{(d)}$ by … For each $n\geq 0$ , the corresponding partial sum is the polynomial $\sum_{k=0}^n b_k^{(d)}z^k$ . Zero-free Taylor polynomial…
Conjectureopencomplex-analysis power-series zero-free-polynomialsarXiv posted 2 days ago
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Erdős's half-factor conjecture for derivatives of zero-free polynomials
Erdős's conjecture. The Bernstein inequality can be strengthened to
Conjectureopencomplex-analysis polynomial-inequalities zero-free-polynomialsarXiv posted 2 days ago

Zero-free Taylor polynomial conjecture for square roots of truncated geometric series