What is it about?

In this paper, we find all integers c with at least two representations as a difference between a k-generalized Fibonacci number and a power of 3. This paper continues the previous work of the first author for the Fibonacci numbers, and for the Tribonacci numbers.

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Why is it important?

Applies Baker's methods.

Perspectives

Computations in Mathematica

Dr.rer.nat. M.Sc. Mahadi Ddamulira
Technische Universitat Graz

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This page is a summary of: On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3, International Journal of Number Theory, March 2020, World Scientific Pub Co Pte Lt,
DOI: 10.1142/s1793042120500876.
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