High-density spectral sets in finite cyclic groups
Year: 2026
Type: preprint
Abstract: Let A be a spectral set in ℤ/Nℤ, with |A| > N/6. We prove that N/|A| is an integer at most five. Given a complete spectrum of A, we construct a single tiling complement for all sets with that spectrum. The proof uses prime-power digit packings and the observation that the uncovered part of a packing by a spectral set still carries the orthogonal characters of its spectrum.
Author: Liang, Jiahui
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225612089
Cites:
Cited by:
Related to: