Power series with positive coefficients arising from the characteristic polynomials of positive matrices

Helena \v{S}migoc; Raphael Loewy; Thomas J. Laffey

arxiv: 1205.1933 · v3 · pith:ETLMXUM2new · submitted 2012-05-09 · 🧮 math.SP

Power series with positive coefficients arising from the characteristic polynomials of positive matrices

Thomas J. Laffey , Raphael Loewy , Helena \v{S}migoc This is my paper

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keywords positivecoefficientsalwaysarisingcharacteristicentrywiseexistsinteger

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Let A be an nxn (entrywise) positive matrix and let f(t)=det(I-t A). We prove that there always exists a positive integer N such that 1-f(t)^{1/N} has positive coefficients.

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Power series with positive coefficients arising from the characteristic polynomials of positive matrices

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