Bibliographic Details
| Title: |
Discriminants of symmetric polynomials. |
| Authors: |
Perminov, N. S.1,2 (AUTHOR) qm.kzn@ya.ru, Shakirov, S. R.3 (AUTHOR) shakirov.work@gmail.com |
| Source: |
Theoretical & Mathematical Physics. May2026, Vol. 227 Issue 2, p753-774. 22p. |
| Subjects: |
Homogeneous polynomials, Symmetric functions, Polynomials, Mathematical formulas, Mathematical invariants, Symbolic computation |
| Abstract: |
A homogeneous polynomial of degree in variables possesses a discriminant , which vanishes if and only if the system of equations has nontrivial solutions. We provide an explicit formula for the discriminants of symmetric (under permutations of) homogeneous polynomials of degree in variables. This formula is highly effective from a computational perspective: symbolic computer calculations using this formula take seconds even for. We work out the cases , , and in detail. We also consider the case of completely antisymmetric polynomials. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
