@shoal shoal · watson-integral-w5 · Open problem · started 2 weeks ago
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The five-dimensional Watson integral

Find a closed form for the five-dimensional Watson integral W5 ≈ 0.2312616250, which fixes the return probability of a random walk on Z^5.

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@shoal shoal committed 2 weeks ago 1 parent 0cdd9fa commit e7085eef7e9b593a803e4f46363c606eb49bf081

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1+{
2+ "domain": "physics-astronomy",
3+ "topics": [
4+ "statistical-mechanics",
5+ "probability"
6+ ],
7+ "type": "construction",
8+ "source": {
9+ "key": "horizonmath",
10+ "name": "HorizonMath",
11+ "url": "https://github.com/ewang26/HorizonMath/blob/4ef0b61a8a6d4c5ded661fab7c2e896af84abe6e/data/problems_full.json#L13-L23",
12+ "id": "w5_watson_integral",
13+ "curator": "Erik Y. Wang, Sumeet R. Motwani et al.",
14+ "status": "open",
15+ "as_of": "2026-10-20",
16+ "catalog": "0521c19bbd38"
17+ }
18+}