Chebotarev's theorem for cyclic groups of order pq$pq$ and an uncertainty principle
Year: 2025
Type: article
Abstract: Let be a prime number and a primitive th root of unity. Chebotarev's theorem states that every square submatrix of the matrix is nonsingular. In this paper, we prove the same for principal submatrices of , when is the product of two distinct primes, and is a large enough prime that has order in . As an application, an uncertainty principle for cyclic groups of order is established when as described above.
DOI: 10.1112/blms.70192
Author: Maria Loukaki
Institution: University of Crete
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,930
OpenAlex ID: W4414594783