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On the arguments of the roots of the generalized Fibonacci polynomial

On the arguments of the roots of the generalized Fibonacci polynomial

Abstract We revisit the classical subject of equidistribution of the roots of Littlewood-type polynomials. More precisely, we show that the roots of the family of polynomials Ψ k ( z ) = z k −z k− 1 −⋯−1, k ⩾ 1, are uniformly distributed around the unit circle in the …