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 termsFile in questo prodotto:
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