In this paper we compute the Waring rank of any polynomial of the form F=M1+...+Mr, where the Mi are pairwise coprime monomials, i.e., GCD(Mi, Mj)=1 for i different from j. In particular, we determine the Waring rank of any monomial. As an application we show that certain monomials in three variables give examples of forms of rank higher than the generic form. As a further application we produce a sum of power decomposition for any form which is the sum of pairwise coprime monomials.
File in questo prodotto:
Non ci sono file associati a questo prodotto.