Displaying similar documents to “A subresultant theory of multivariate polynomials.”

Dickson Polynomials that are Permutations

Cipu, Mihai (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 11T06, 13P10. A theorem of S.D. Cohen gives a characterization for Dickson polynomials of the second kind that permutes the elements of a finite field of cardinality the square of the characteristic. Here, a different proof is presented for this result. Research supported by the CERES program of the Ministry of Education, Research and Youth, contract nr. 39/2002.

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. ...