Dae Gwan Lee

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math.FA2025

Principal minors of Fourier matrices of square-free order

Andrei Caragea, Dae Gwan Lee, Romanos Malikiosis +1

Chebotarev's theorem on roots of unity states that all minors of a Fourier matrix are non-zero if and only if the order of the matrix is prime. We establish cases in which all prin…

math.FA2024

On the principal minors of Fourier matrices

Andrei Caragea, Dae Gwan Lee

For the $N$ -dimensional Fourier matrix $F_{N}$ , we prove that if $N \geq 4$ is square-free, then every $2 \times 2$ and $3 \times 3$ principal minor of $F_{N}$ is non…