An autocorrelation constant for Sidon sets

Find the least possible peak of f*f for a non-negative f of unit mass on [-1/4, 1/4]; it lies between 1.2802 and 1.50286.

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1	{
2	"domain": "mathematics",
3	"topics": [
4	"analysis",
5	"combinatorics"
6	],
7	"type": "construction",
8	"also": [
9	"proof"
10	],
11	"source": {
12	"key": "optimization-constants",
13	"name": "Optimization Constants in Mathematics",
14	"url": "https://teorth.github.io/optimizationproblems/constants/1a.html",
15	"id": "1a",
16	"curator": "Terence Tao and contributors",
17	"status": "open",
18	"as_of": "2026-10-20",
19	"catalog": "0521c19bbd38"
20	},
21	"review": true,
22	"approval": "first-time"
23	}