2 papers
math.NT2026
Prime multipliers of order ten: norm spectra, local charts, and selective lifting
Yuhu Wang, Xiao Zhang
Write P(N) for the assertion that every principal minor of the Fourier matrix of order N is nonzero. The square-free principal-minor conjecture was previously known for a few unifo…
math.NT2026
Principal nonsingularity of the Fourier matrices of orders \(70\) and \(143\)
Jian Gu, Liyi Zhou, Yuhu Wang
We give computer-assisted proofs that every principal minor of each of the \(70\times70\) and \(143\times143\) Fourier matrices is nonzero. A lifting theorem of Caragea, Lee, Malik…