Balancing numbers which are products of three repdigits in base b
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s40590-023-00516-0.pdf
Reference15 articles.
1. K. N. Adédji, A. Filipin and A. Togbé, Fibonacci and Lucas numbers as products of three repdigits in base $$g$$, Rend. Circ. Mat. Palermo, II. Ser (2023). https://doi.org/10.1007/s12215-023-00878-4
2. Adédji, K.N., Filipin, A., Togbé, A.: Padovan and Perrin numbers which are products of two repdigits in base $$b$$. Results Math. 78, 193 (2021). https://doi.org/10.1007/s00025-021-01502-6
3. Adédji, K.N., Luca, F., Togbé, A.: On the solutions of the Diophantine equation $$F_n\pm a(10^m-1)/9=k!$$. J. Number Theory 240, 593–610 (2022). https://doi.org/10.1016/j.jnt.2021.12.008
4. Behera, A., Panda, G.K.: On the square roots of triangular numbers. Fib. Quart. 37(2), 98–105 (1999)
5. Bugeaud, Y., Mignotte, M., Siksek, S.: Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas powers. Annals of Mathematics. 163(2), 969–1018 (2006)
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1. On the Diophantine equations $$\varvec{P_{n}=b^{d}Q_{m}+Q_{k}}$$ and $$\varvec{Q_{n}=b^{d}P_{m}+P_{k}}$$ involving Pell and Pell–Lucas numbers;Proceedings - Mathematical Sciences;2024-05-09
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