Displaying similar documents to “On the reducibility of polynomials and in particular of trinomials”

A new exceptional polynomial for the integer transfinite diameter of [ 0 , 1 ]

Qiang Wu (2003)

Journal de théorie des nombres de Bordeaux

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Using refinement of an algorithm given by Habsieger and Salvy to find integer polynomials with smallest sup norm on [0, 1] we extend their table of polynomials up to degree 100. For the degree 95 we find a new exceptionnal polynomial which has complex roots. Our method uses generalized Müntz-Legendre polynomials. We improve slightly the upper bound for the integer transfinite diameter of [0, 1] and give elementary proofs of lower bounds for the exponents of some critical polynomials. ...