An extended lemma of Dobrowolski and Smyth's congruence

Dubickas Artūras: An extended lemma of Dobrowolski and Smyth's congruence. In: Acta scientiarum mathematicarum, (77) 3-4. pp. 403-408. (2011)

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Abstract

We give a short proof of a recent result of Hare, McKinnon and Sinclair on divisibility of the resultant of two polynomials whose roots are prime powers of a given monic polynomial. Our proof is based on Smyth's congruence involving powers of conjugate algebraic integers. An application to the Mahler measure of a polynomial is also given.

Item Type:	Article
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2011
Volume:	77
Number:	3-4
ISSN:	0001-6969
Page Range:	pp. 403-408
Language:	English
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Official URL:	http://www.acta.hu
Related URLs:	http://acta.bibl.u-szeged.hu/38684/
Uncontrolled Keywords:	Matematika
Additional Information:	Bibliogr.: 408. p. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2016. Oct. 15. 14:09
Last Modified:	2026. Mar. 09. 10:53
URI:	http://acta.bibl.u-szeged.hu/id/eprint/16394

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