Batte, Herbert; Ddamulira, Mahadi; Kasozi, Juma; Luca, Florian On a problem of Pillai involving S-units and Lucas numbers. arXiv:2401.06555 Preprint, arXiv:2401.06555 [math.NT] (2024). MSC: 11B39 11D61 11D45 11Y50 BibTeX Cite \textit{H. Batte} et al., ``On a problem of Pillai involving S-units and Lucas numbers'', Preprint, arXiv:2401.06555 [math.NT] (2024) Full Text: arXiv OA License
Batte, Herbert; Ddamulira, Mahadi; Kasozi, Juma; Luca, Florian Multiplicative independence in the sequence of \(k\)-generalized Lucas numbers. arXiv:2311.14001 Preprint, arXiv:2311.14001 [math.NT] (2023). BibTeX Cite \textit{H. Batte} et al., ``Multiplicative independence in the sequence of $k$-generalized Lucas numbers'', Preprint, arXiv:2311.14001 [math.NT] (2023) Full Text: arXiv OA License
Batte, Herbert; Ddamulira, Mahadi; Kasozi, Juma; Luca, Florian On the multiplicity in Pillai’s problem with Fibonacci numbers and powers of a fixed prime. (English) Zbl 1523.11026 Glas. Mat., III. Ser. 57, No. 2, 185-201 (2022). MSC: 11B39 11D61 11J86 PDFBibTeX XMLCite \textit{H. Batte} et al., Glas. Mat., III. Ser. 57, No. 2, 185--201 (2022; Zbl 1523.11026) Full Text: DOI arXiv
Ddamulira, Mahadi; Luca, Florian; Tichy, Robert On the Shorey-Tijdeman Diophantine equation involving terms of Lucas sequences. (English) Zbl 1485.11026 Indag. Math., New Ser. 33, No. 2, 314-321 (2022). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11B39 11D61 PDFBibTeX XMLCite \textit{M. Ddamulira} et al., Indag. Math., New Ser. 33, No. 2, 314--321 (2022; Zbl 1485.11026) Full Text: DOI arXiv
Ddamulira, Mahadi; Luca, Florian On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. (English) Zbl 1481.11020 Ramanujan J. 56, No. 2, 651-684 (2021). Reviewer: Takao Komatsu (Hangzhou) MSC: 11B39 11D61 11J86 PDFBibTeX XMLCite \textit{M. Ddamulira} and \textit{F. Luca}, Ramanujan J. 56, No. 2, 651--684 (2021; Zbl 1481.11020) Full Text: DOI arXiv
Ddamulira, Mahadi; Luca, Florian The \(x\)-coordinates of Pell equations and sums of two Fibonacci numbers. II. (English) Zbl 1471.11065 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 58, 20 p. (2020). MSC: 11B39 11D09 11D45 11D61 11J86 PDFBibTeX XMLCite \textit{M. Ddamulira} and \textit{F. Luca}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 58, 20 p. (2020; Zbl 1471.11065) Full Text: DOI
Ddamulira, Mahadi; Luca, Florian On the problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of \(3\). (English) Zbl 1446.11025 Int. J. Number Theory 16, No. 7, 1643-1666 (2020). Reviewer: Andreas N. Philippou (Patras) MSC: 11B39 11D45 11D61 11J86 PDFBibTeX XMLCite \textit{M. Ddamulira} and \textit{F. Luca}, Int. J. Number Theory 16, No. 7, 1643--1666 (2020; Zbl 1446.11025) Full Text: DOI arXiv
Ddamulira, Mahadi; Luca, Florian On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers. (English) Zbl 1447.11025 J. Number Theory 207, 156-195 (2020). MSC: 11B39 11D09 11J86 PDFBibTeX XMLCite \textit{M. Ddamulira} and \textit{F. Luca}, J. Number Theory 207, 156--195 (2020; Zbl 1447.11025) Full Text: DOI arXiv
Ddamulira, Mahadi; Gómez, Carlos A.; Luca, Florian On a problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of 2. (English) Zbl 1437.11051 Monatsh. Math. 187, No. 4, 635-664 (2018). MSC: 11D61 11B39 11D45 11J86 PDFBibTeX XMLCite \textit{M. Ddamulira} et al., Monatsh. Math. 187, No. 4, 635--664 (2018; Zbl 1437.11051) Full Text: DOI arXiv
Ddamulira, Mahadi; Luca, Florian; Rakotomalala, Mihaja On a problem of Pillai with Fibonacci numbers and powers of 2. (English) Zbl 1421.11017 Proc. Indian Acad. Sci., Math. Sci. 127, No. 3, 411-421 (2017). MSC: 11B39 11J86 PDFBibTeX XMLCite \textit{M. Ddamulira} et al., Proc. Indian Acad. Sci., Math. Sci. 127, No. 3, 411--421 (2017; Zbl 1421.11017) Full Text: DOI arXiv HAL
Ddamulira, Mahadi; Luca, Florian; Rakotomalala, Mihaja Fibonacci numbers which are products of two Pell numbers. (English) Zbl 1400.11040 Fibonacci Q. 54, No. 1, 11-18 (2016). MSC: 11B39 PDFBibTeX XMLCite \textit{M. Ddamulira} et al., Fibonacci Q. 54, No. 1, 11--18 (2016; Zbl 1400.11040) Full Text: arXiv Link