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oai:null:10339/373132026-09-02T12:06:00Zcom_10339_14934col_10339_38132

Cubre, Paul 2012-06-12T08:36:06Z 2012-06-12T08:36:06Z 2012 https://wakespace.lib.wfu.edu/handle/10339/37313 Paul S. Bruckman and Peter G. Anderson made a conjecture about the Z-densities of the Fibonacci sequence, F(n), based on computational results. For a prime p, Z(p) is the ``Fibonacci entry-point of n" or the smallest positive integer n such that p divides F(n), M(m,x) is the number of primes p is less than x such that m divides Z(p), and pi(x) is the number of primes less than x. We may define the ``Z-density of m" to be Z(m) is the limit of x to infinity of M(m,x) divided by pi(x). The conjecture gives a formula for Z(m) for all positive m. We will prove the conjecture of Bruckman and Anderson. en Wake Forest University Arithmetic Dynamics Fibonacci Z-Densities The Z-densities of the Fibonacci Sequence Thesis Rouse, Jeremy A Howard, Fred T Mathematics open.access