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Secretary Problem Thresholds and Convergents of $1/e$
[Submitted on 17 Jun 2026] · 2026-06-18 · via math.PR updates on arXiv.org

Mathematics > Probability

arXiv:2606.19298 (math)

[Submitted on 17 Jun 2026]

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Abstract:We prove that if $p/q$ is a continued fraction convergent of $1/e$ with $q\geq 3$, then, for the secretary problem with $q$ applicants, the optimal number of initially rejected applicants is $p$.

Submission history

From: Raúl Sánchez Galán [view email]
[v1] Wed, 17 Jun 2026 17:23:31 UTC (7 KB)

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