Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes
Statement
Fuglede's conjecture asks whether a set tiles exactly when it is spectral. The paper proves it for an infinite sequence of square-free order cyclic groups: the tile-to-spectral direction for all square-free cyclic groups, and the spectral-to-tiling direction for those whose prime factors grow rapidly. Until now no cyclic group with an arbitrary number of distinct divisors was known to satisfy it.
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No person has examined this. Nothing here has been checked at all. say whether it holds →
proof attempt · #1
Gábor Somlai, using ChatGPT + GeminiThat credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.
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