The Distribution of Self-Fibonacci Divisors
classification
🧮 math.NT
keywords
considercountingdistributiondividesdivisorsfibonaccifunctionintegers
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Consider the positive integers $n$ such that $n$ divides the $n$-th Fibonacci number, and their counting function $A$. We prove that \[A(x) \leq x^{1-(1/2+o(1))\log\log\log x/\log\log x}.\]
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