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Results tagged with polynomials
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user 134624
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
6
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Transcendent basis for the field of multisymmetric functions
One example of a transcendent basis is elementary multisymmetric polynomials of multi-indices $(k, 0, \ldots, 0), k=1, \ldots n$ and $(k, 0, \ldots, 1, \ldots, 0), k=0, \ldots n-1$ and the $1$ is in places … $2, \ldots, m$ (Discriminants, Resultants, and Multidimensional Determinants, Trm 2.8)
I am interested to know if there is a transcendent basis made entirely from multisymmetric power sum polynomials …
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