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arXiv · 2608.00744

On an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl

Tamás Erdélyi
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Abstract

Making a progress in an Erd\"os problem dating back to 1957, we show that $$\max_{t \in {\Bbb R}}{|P_n(e^{it})|^2} \geq n+1 + \frac{1}{38}n^{1/3}$$ for every polynomial $P_n$ of degree $n$ with all of its coefficients in $\{-1,1\}$.

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Tamás Erdélyi. 2026-08-01. On an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl. https://arxiv.org/abs/2608.00744

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