analysis / Harmonic Analysis, Spectral Sets

Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes

A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors.

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analysisJul 29, 2026Significance 20/100Registry: unreviewed

Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes

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A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors.

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A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors.

A partial result. Fuglede's conjecture remains open for finite cyclic groups generally; this settles an infinite family and, for the spectral-to-tiling direction, only under rapid growth of the prime factors.

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