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Erdős Problem #119

For unit-modulus complex numbers $z_i$, let $p_n(z)=\prod_{i\le n}(z-z_i)$ and $M_n=\max_{|z|=1}|p_n(z)|$. Erdős's prize question: is there $c>0$ with $\sum_{k\le n} M_k > n^{1+c}$?

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Occurred: Jul 1, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: site-confirmed. Publication: announcement. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: Erdős Problem #119 · Erdős #119 · Problem 119

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VibeMathed
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Samuel Korsky
human · human collaborator

GPT-5.6
model · ai model contributor · OpenAI

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This event attributed to GPT-5.6

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Erdős Problem #119 — Mathematical Frontier Network