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SOME POLYNOMIALS WITH UNIMODULAR ROOTS

대한수학회보, 2022, 59(5), , pp.1269-1277 [Peer Reviewed Journal]

ISSN: 1015-8634 ;EISSN: 2234-3016 ;DOI: 10.4134/BKMS.b210728

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  • Title:
    SOME POLYNOMIALS WITH UNIMODULAR ROOTS
  • Author: Dubickas, Arturas
  • Subjects: 수학
  • Is Part Of: 대한수학회보, 2022, 59(5), , pp.1269-1277
  • Description: 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 ).
  • Publisher: 대한수학회
  • Language: Korean;English
  • Identifier: ISSN: 1015-8634
    EISSN: 2234-3016
    DOI: 10.4134/BKMS.b210728
  • Source: Alma/SFX Local Collection
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