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TL;DR

The Basel Problem (Euler's \(\pi^2/6\)): A canonical quantitative trading interview question at olympiad difficulty. Commonly asked at Jane Street, Two Sigma.

By Valenke Exam Prep Team·Last updated 2026-06-01
olympiadSequences, Series & Limits

The Basel Problem (Euler's \(\pi^2/6\))

Asked at: Jane Street, Two Sigma

Problem
Evaluate the sum n=1\ rac1n2\sum_{n=1}^{\infty} \ rac{1}{n^2}. Prove that the answer is \ racπ26\ rac{\pi^2}{6} using the Weierstrass product for sine.

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