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arXiv · 2505.24326

Principal minors of Fourier matrices of square-free order

Andrei Caragea·Dae Gwan Lee·Romanos Malikiosis·Goetz E. Pfander
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Abstract

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 principal minors of Fourier matrices of square-free order are non-zero. In a subsequent paper we discuss the case of composites containing squares.

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Andrei Caragea, Dae Gwan Lee, Romanos Malikiosis, Goetz E. Pfander. 2025-05-30. Principal minors of Fourier matrices of square-free order. https://arxiv.org/abs/2505.24326

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