Displaying similar documents to “The fundamental theorem on symmetric polynomials”

Reducibility of Symmetric Polynomials

A. Schinzel (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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A necessary and sufficient condition is given for reducibility of a symmetric polynomial whose number of variables is large in comparison to degree.

Reciprocal Stern Polynomials

A. Schinzel (2015)

Bulletin of the Polish Academy of Sciences. Mathematics

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A partial answer is given to a problem of Ulas (2011), asking when the nth Stern polynomial is reciprocal.

Parametrization of integral values of polynomials

Giulio Peruginelli (2010)

Actes des rencontres du CIRM

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We will recall a recent result about the classification of those polynomial in one variable with rational coefficients whose image over the integer is equal to the image of an integer coefficients polynomial in possibly many variables. These set is polynomially generated over the integers by a family of polynomials whose denominator is 2 and they have a symmetry with respect to a particular axis. We will also give a description of the linear factors of the bivariate separated...