2 problems

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Kurz–Wassermann conjecture on the shape of minimum-diameter integer distance sets
An integer distance set is a finite set of points in the Euclidean plane such that the distance between every pair of distinct points is an integer. For a positive integer $n$ , con…
Conjectureopendiscrete-geometry integer-distance-setsarXiv posted 2 days ago
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Fuglede's three-point conjecture for orthogonal exponential sets in the disk
Let $D=\{x\in\mathbf{R}^2\colon \|x\|<1\}$ be the unit disk, and let $\Lambda\subset\mathbf{R}^2$ be a frequency set. Define … Assume that $E(\Lambda)$ is an orthogonal system in…
Conjectureopenharmonic-analysis integer-distance-sets spectral-setsarXiv posted 2 days ago

Kurz–Wassermann conjecture on the shape of minimum-diameter integer distance sets