On a variant of Pillai’s problem-Reference-Cited by-同舟云学术

On a variant of Pillai’s problem

Published:2017-02 Issue:07 Volume:13 Page:1711-1727
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Chim Kwok Chi¹,Pink István²³,Ziegler Volker³

Affiliation:

1. Institute of Analysis and Number Theory, Graz University of Technology, Kopernikusgasse 24/II, A-8010 Graz, Austria

2. Institute of Mathematics, University of Debrecen, H-4010 Debrecen, P.O. Box 12, Hungary

3. University of Salzburg, Hellbrunnerstrasse 34/I, A-5020 Salzburg, Austria

Abstract

In this paper, we find all integers [Formula: see text] having at least two representations as a difference between a Fibonacci number and a Tribonacci number.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042117500981

Reference16 articles.

1. Linear forms in the logarithms of algebraic numbers

2. Linear forms in the logarithms of algebraic numbers (II)

3. Linear forms in the logarithms of algebraic numbers (III)

4. THE EQUATIONS 3x2−2 = y2 AND 8x2−7 = z2

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