Mathematics, Department of
Department of Mathematics: Faculty Publications
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Document Type
Article
Date of this Version
2016
Citation
Preprint of article published in Fibonacci Quarterly 54 (2016), no. 1, 65–71.
Abstract
We define a new method of measuring the rate of divergence for an increasing positive sequence of integers. We introduce the growth function for such a sequence and its associated growth limit. We use these tools to study the divergence rate for the natural numbers, polynomial and exponential-type sequences, and the prime numbers. We conclude with a number of open questions concerning general properties and characterizations of growth functions and the set of possible growth limits.
Comments
US govt