The paper proves that r+1 Newton power sums with coprime degrees generate the whole field of symmetric functions in r variables. Along the way other results of independent interest are proved, like the irreducibility of the Schur polynomials and the Galois group of a generic polynomial with a given number of terms

Newton functions generating symmetric fields and irreducibility of Schur polynomials.

ZANNIER, UMBERTO;
2009

Abstract

The paper proves that r+1 Newton power sums with coprime degrees generate the whole field of symmetric functions in r variables. Along the way other results of independent interest are proved, like the irreducibility of the Schur polynomials and the Galois group of a generic polynomial with a given number of terms
2009
Schur polynomials; symmetric functions; generic Galois group
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/3656
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