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Power roots of polynomials

Published online by Cambridge University Press:  17 April 2009

John Boris Miller
John Boris Miller
Affiliation:
Department of Mathematics, Monash University Clayton, Vic 3168, Australia
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Abstract

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Sufficient conditions are given for the existence of an mth power root of one polynomial modulo another, over the complexes or the reals. Examples show the non-necessity of the conditions. In particular cases there can exist infinitely many square roots.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 163 - 168
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Gantmacher, F.R., Theory of matricet, Vol 1 (Chelsea, New York, 1960).Google Scholar
[2]Hille, E. and Phillips, H.S., Functional analysis and gemi-groups (Amer. Math. Soc. Coll. Publ. 31, Providence, 1957).Google Scholar