Issue 1, 2001
ON POLYNOMIAL HEIGHTS
PANAITOPOL AND DORU STEFANESCU
70109 BUCHAREST 1
PO BOX 39-D5
Received 21 June, 2000; accepted 26 October 2000.
Communicated by: H. Gauchman
We give explicit bounds for the absolute values of the coefficients of the
divisors of a complex polynomial. They are expressed in function of the
coefficients and of upper and lower bounds for the roots. These bounds are
compared with other estimates, in particular with the inequality of Beauzamy
[B. Beauzamy, Products of polynomials and a priori estimates for
coefficients in polynomial decompositions: A sharp result, J.
Symbolic Computation, 13, 463 - 472 (1992)]. Through examples it is proved
that for some cases our evaluations give better upper limits.
2000 Mathematics Subject
Download this article (PDF):
Suitable for a printer:
Suitable for a monitor:
|To view these files we
recommend you save them to your file system and then view by using
the Adobe Acrobat Reader.
That is, click on the icon using the 2nd mouse button and
select "Save Target As..." (Microsoft Internet
Explorer) or "Save Link As..." (Netscape
See our PDF pages for more