Browsing by Author "ZOUAREG YAHIA"

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    Studies of some sequences of polynomials from combinatorics and number theory
    (Université de M'sila, 2022) ZOUAREG YAHIA
    Heim and Neuhauser investigated some polynomials related to the Dedekind function. They proved the log-concavity of these polynomials and conjectured that they have only real zeros. In this thesis, we prove this conjecture, and deduce some identities for Fibonacci numbers and determine the modes of another sequence related to Fibonacci polynomials. We have also studied solution of some diophantine equations.
  • Thumbnail Image
    ItemOpen Access
    Studies of some sequences of polynomials from combinatorics and number theory
    (Université de M'sila, 2022) ZOUAREG YAHIA
    Heim and Neuhauser investigated some polynomials related to the Dedekind function. They proved the log-concavity of these polynomials and conjectured that they have only real zeros. In this thesis, we prove this conjecture, and deduce some identities for Fibonacci numbers and determine the modes of another sequence related to Fibonacci polynomials. We have also studied solution of some diophantine equations.