Zeros of lacunary random polynomials

Abstract

We study the asymptotic distribution of zeros for the lacunary random polynomials. It is shown that the equidistribution of zeros near the unit circumference holds under more relaxed conditions on the random coefficients than in the case of Kac polynomials. Moreover, the zeros exhibit stronger convergence patterns towards the unit circumference. 

Pritsker I. E. (2018) "Zeros of lacunary random polynomials " Dolomites Research Notes on Approximation, 11(4), 73-78. DOI: 10.14658/PUPJ-DRNA-2018-4-7  
Year of Publication
2018
Journal
Dolomites Research Notes on Approximation
Volume
11
Issue Number
4
Start Page
73
Last Page
78
Date Published
11/2018
ISSN Number
2035-6803
Serial Article Number
7
DOI
10.14658/PUPJ-DRNA-2018-4-7
Issue
Section
SpecialIssue4