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Published in:
2016 | OriginalPaper | Chapter
k-Arithmetic Sequences—Theory and Applications
Author : Adam Kołacz
Published in: Challenging Problems and Solutions in Intelligent Systems
Publisher: Springer International Publishing
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Abstract
The notion of an arithmetic progression was extended to embrace the class of polynomials of degree \(k>1\). Some properties of difference sequences are analyzed and their connections with some number-theory problems are studied. In particular, a certain aspects of Fermat’s Last Theorem and the Fibonacci numbers are revisited.