Zeros of lacunary random polynomials
| Title | Zeros of lacunary random polynomials |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | Pritsker, IE |
| Journal | Dolomites Research Notes on Approximation |
| Volume | 11 |
| Issue | 4 |
| Pagination | 73-78 |
| Date Published | 11/2018 |
| Publisher | Padova University Press |
| Place Published | Padova, IT |
| ISSN Number | 2035-6803 |
| Keywords | lacunary polynomials, random coefficients, uniform distribution, Zeros |
| 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. |
| URL | https://drna.padovauniversitypress.it/2018/4/9 |
| DOI | 10.14658/pupj-drna-2018-4-9 |
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