| Title |
Some polynomials with unimodular roots |
| Authors |
Dubickas, Artūras |
| DOI |
10.4134/BKMS.b210728 |
| Full Text |
|
| Is Part of |
Bulletin of the Korean Mathematical Society.. Seoul : The Korean Mathematical Society. 2022, vol. 59, no. 5, p. 1269-1277.. ISSN 1015-8634. eISSN 2234-3016 |
| Keywords [eng] |
self-reciprocal polynomials ; unimodular roots ; trigonometric polynomials |
| Abstract [eng] |
In this paper we consider a sequence of polynomials defined by some recurrence relation. They include, for instance, Poupard polynomials and Kreweras polynomials whose coefficients have some combinatorial interpretation and have been investigated before. Extending a recent result of Chapoton and Han we show that each polynomial of this sequence is a self-reciprocal polynomial with positive coefficients whose all roots are unimodular. Moreover, we prove that their arguments are uniformly distributed in the interval [0, 2π). |
| Published |
Seoul : The Korean Mathematical Society |
| Type |
Journal article |
| Language |
English |
| Publication date |
2022 |
| CC license |
|
