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SOME POLYNOMIALS WITH UNIMODULAR ROOTS

Dubickas, Arturas

대한수학회보, 2022, 59(5), , pp.1269-1277 [Periódico revisado por pares]

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Título:
SOME POLYNOMIALS WITH UNIMODULAR ROOTS
Autor: Dubickas, Arturas
Assuntos: 수학
É parte de: 대한수학회보, 2022, 59(5), , pp.1269-1277
Notas: KISTI1.1003/JNL.JAKO202228654502687
https://bkms.kms.or.kr/journal/view.html?doi=10.4134/BKMS.b210728
Descrição: 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, 2 ).
Editor: 대한수학회
Idioma: Coreano;Inglês

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