References
- A. Alahmadi, A. Altassan, F. Luca, and H. Shoaib, Fibonacci numbers which are concatenations of two repdigits, Quaestiones Mathematicae 4 (2021), no. 2, 281-290.
- A. Baker and H. Davenport, The equations 3x2 - 2 = y2 and 8x2 - 7 = z2, Quart. J. Math. Oxford Ser. (2) 20 (1969), no. 1, 129-137. https://doi.org/10.1093/qmath/20.1.129
- J. J. Bravo, C. A. Gomez, and F. Luca, Powers of two as sums of two k-Fibonacci numbers, Miskolc Math. Notes 17 (2016), no. 1, 85-100. https://doi.org/10.18514/MMN.2016.1505
- Y. Bugeaud, M. Mignotte, and S. Siksek, Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers, Ann. of Math. 163 (2006), no. 3, 969-1018. https://doi.org/10.4007/annals.2006.163.969
- Y. Bugeaud, Linear Forms in Logarithms and Applications, IRMA Lectures in Mathematics and Theoretical Physics, 28, Zurich: European Mathematical Society, 2018.
- M. Ddamulira, Padovan numbers that are concatenations of two repdigits, Mathematica Slovaca 71 (2021), no. 2, 275-284. https://doi.org/10.1515/ms-2017-0467
- M. Ddamulira, Tribonacci numbers that are concatenations of two repdigits, Rev. R. Acad. Cienc. Exactas F'is. Nat. Ser. A Mat. RACSAM 114 (2020), no. 4, 203.
- M. Ddamulirai, On the x-coordinates of Pell equations that are products of two Padovan numbers, Integers 20 (2020), no. A70, 20 pp.
- A. Dujella and A. Peth'o, A generalization of a theorem of Baker and Davenport, Quart. J. Math. Oxford Ser. (2) 49 (1998), no. 3, 291-306. https://doi.org/10.1093/qmathj/49.3.291
- B. Faye and F. Luca, Pell and Pell-Lucas numbers with only one distinct digit, Ann. Math. Inform. 45 (2015), 55-60.
- E. M. Matveev, An Explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers II, Izv. Ross. Akad. Nauk Ser. Mat. 64 (2000), no. 6, 125-180 (Russian); Translation in Izv. Math. 64 (2000), no. 6, 1217-1269. https://doi.org/10.1070/IM2000v064n06ABEH000314
- S. G. Rayaguru and G. K. Panda, Balancing numbers which are concatenations of two repdigits, Bol. Soc. Mat. Mex. 26 (2020), 911-919. https://doi.org/10.1007/s40590-020-00293-0
- B. M. M. de Weger, Algorithms for Diophantine Equations, CWI Tracts 65, Stichting Maths. Centrum, Amsterdam, 1989.