Lucas numbers as sums of two repdigits

Author:

Adegbindin Chèfiath,Luca Florian,Togbé Alain

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference15 articles.

1. J.J. Bravo and F. Luca, On a conjecture about repdigits in k-generalized Fibonacci sequences, Publ. Math., 82(3–4): 623–639, 2013.

2. Y. Bugeaud, M. Maurice, and S. Siksek, Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers, Ann. Math. (2), 163(3):969–1018, 2006.

3. Y. Bugeaud and M. Mignotte, On integers with identical digits, Mathematika, 46(2):411–417, 1999.

4. S. Díaz-Alvarado and F. Luca, Fibonacci numbers which are sums of two repdigits, in F. Luca and P. Stănică (Eds.), Proceedings of the 14th International Conference on Fibonacci Numbers and Their Applications, Morelia, Mexico, July 5–9, 2010, Aportaciones Mat., Investig., Vol. 20, Sociedad Matemática Mexicana, México, 2011, pp. 97–108.

5. A. Dujella and A. Pethő, A generalization of a theorem of Baker and Davenport, Q. J. Math., Oxf. II. Ser., 49(3):291–306, 1998.

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