Some aspects of Fibonacci polynomial congruences
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Abstract
This paper formulates a definition of Fibonacci polynomials which is
slightly different from the traditional definitions, but which is related to the
classical polynomials of Bernoulli, Euler and Hermite. Some related congruence
properties are developed and some unanswered questions are outlined.
Keywords: Congruences, recurrence relations, Fibonacci sequence, Lucas sequences,
umbral calculus