Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-26T18:05:18.059Z Has data issue: false hasContentIssue false
  • English
  • Français

Generalised discriminants

Published online by Cambridge University Press:  17 April 2009

C. F. Woodcock  and
P. R. Graves-Morris
C. F. Woodcock
Affiliation:
Institute of Mathematics and StatisticsUniversity of Kent, CanterburyKent CT2 7NFEngland
P. R. Graves-Morris
Affiliation:
Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800ChristchurchNew Zealand
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we establish the generalized discriminant theorem governing uniqueness of symmetric polynomials in n variables of least total degree dn, k which vanish when any k + 1 of the variables are equal.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 1 , February 1996 , pp. 149 - 157
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Graves-Morris, P.R., ‘Problem 92–20’, SIAM Review 34 (1992), 649–650.CrossRefGoogle Scholar
[2]Lang, S., Algebra, Chapter 5 Section 9 (Addison-Wesley, Reading, Mass., 1967).Google Scholar
[3]Macdonald, I.G., Symmetric functions and Hall Polynomials (Oxford University Press, Oxford, 1979).Google Scholar
[4]Marcus, M., Introduction to modern algebra (Dekker, New York, 1978).Google Scholar
[5]Pragacz, P., ‘A note on the elimination theory’, Nederl. Akad. Wetensch. Indag. Math. 49 (1987), 215–221.CrossRefGoogle Scholar
[6]Wilson, R.J., Introduction to graph theory (Longman, London, 1985).Google Scholar
[7]Woodcock, C.F. and Graves-Morris, P.R., ‘Solution to Problem 92–20’, SIAM Review 35 (1993), 649–651.CrossRefGoogle Scholar