<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

The Minimum Modulus of Polynomials

The minimum modulus of polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1974Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 45, page 463 (issn: 0002-9939,

Authors: Donald J. Newman; E. Beller;

doi: 10.2307/2039981 , 10.1090/s0002-9939-1974-0355015-3

The Minimum Modulus of Polynomials

- Summary
- Subjects
- Metrics

Abstract

In answer to a problem of Erdös and Littlewood we produce an n n th degree polynomial, P ( z ) P(z) , with coefficients bounded by 1 satisfying | P ( z ) | > C n |P(z)| > C\sqrt n for all z z on | z | = 1 |z| = 1 ( C C is a positive absolute constant).

Keywords

Polynomials and rational functions of one complex variable, Inequalities for trigonometric functions and polynomials

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	7
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average