Abdelmejid Bayad, Appolinaire Dossavi-Yovo, Alan Filipin, and Alain Togbé
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 23, 2017, Number 3, Pages 1—26
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Authors and affiliations
Abdelmejid Bayad
Departement de mathématiques, Université d’Evry Val d’Essonne ´
23 Bd. De France, 91037 Evry Cedex, France
Appolinaire Dossavi-Yovo
Institut de Mathematiques et de Sciences Physiques
Porto-Novo, Bénin
Alan Filipin
Faculty of Civil Engineering, University of Zagreb
Fra Andrije Kacica-Milosica 26, 10000 Zagreb, Croatia
Alain Togbé
Mathematics Department, Purdue University North Central
1401 S, U.S. 421, Westville IN 46391 USA
Abstract
In this paper, we prove that if , where , is a -quadruple in the ring of Gaussian integers, then .
Keywords
- Diophantine m-tuple
- Pell equation
- Linear forms in logarithms
AMS Classification
- 11D09
- 11D45
- 11B37
- 11J86
References
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Cite this paper
Bayad, A., Dossavi-Yovo, A., Filipin, A., & Togbé, A. (2017). On the extensibility of the -triple over Gaussian integers, Notes on Number Theory and Discrete Mathematics, 23(3), 1-26.