{ "id": "1907.04398", "version": "v1", "published": "2019-07-09T20:31:40.000Z", "updated": "2019-07-09T20:31:40.000Z", "title": "Spectral sets in $\\Z_{p^2qr}$ tile", "authors": [ "Gábor Somlai" ], "categories": [ "math.CA" ], "abstract": "We prove the every spectral set in $\\Z_{p^2qr}$ tiles, where $p$, $q$ and $r$ are primes, which is a special case of Fuglede's conjecture for cyclic groups.", "revisions": [ { "version": "v1", "updated": "2019-07-09T20:31:40.000Z" } ], "analyses": { "keywords": [ "spectral set", "special case", "fugledes conjecture" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }