Browsing by Author "Yahia Zouareg"
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Item Open Access On a conjecture of Heim and Neuhauser on some polynomials arising frommodular forms and related to Fibonacci polynomials(Université de M'sila, 2022) Yahia Zouareg; Moussa BenoumhaniHeim 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. We prove this conjecture, and deduce some identities for Fibonacci numbers and determine the modes of another sequence related to Fibonacci polynomials.