We present a conjectural formula for the principal minors and the characteristic polynomial of Gross’s regulator matrix associated to a totally odd character of a totally real field. The formula is ...
ABSTRACT: Let A be the linear transformation on the linear space V in the field P, V λ i be the root subspace corresponding to the characteristic polynomial of the eigenvalue λ i , and W λ i be the ...
Abstract: In this paper, we present a new, necessary and sufficient condition for Hurwitz stability of real matrix, using qualitative (based solely on sign pattern of the matrix) reasoning. This new ...
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