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Erdős problem 987

Clunie [Cl67] proved that there exists an infinite sequence {zν}\{z_\nu\} on the unit circle with Aν≤νA_\nu \le \nu for all ν≥1\nu \ge 1. Translating zν=e(xν)z_\nu = e(x_\nu), the natural domain of xνx_\nu is the half-open unit interval Ico 0 1\mathrm{Ico}\,0\,1, matching the original [Er64b]/[Cl67] statement (any unit complex number is allowed, including z=1z = 1, i.e. x=0x = 0).

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  • AI standalone

    Erdős AI contributions wiki · 9 Apr, 2026

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    VibeMathed

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    Boris Alexeev, Moe Putterman, Mehtaab Sawhney, Mark Sellke, Gregory Valiant
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