Abstract
AbstractIn this paper, we give various finiteness results concerning solutions of generalized Pell equations representable as sums of S-units with a fixed number of terms. In case of one term, our result is effective, while in case of more terms, we are able to bound the number of solutions.
Publisher
Springer Science and Business Media LLC
Reference14 articles.
1. Bertók, C., Hajdu, L., Pink, I., Rábai, Z.: Linear combinations of prime powers in binary recurrence sequences. Int. J. Number Theory 13, 261–271 (2017)
2. Bertók, C., Hajdu, L., Pink, I., Rout, S.S.: Sums of $$S$$-units in recurrence sequences. J. Number Theory 196, 353–363 (2019)
3. Bilu, Y., Hanrot, G., Voutier, P.M.: Existence of primitive divisors of Lucas and Lehmer numbers. With an appendix by M. Mignotte. J. Reine Angew. Math. 539, 75–122 (2001)
4. Bravo, J.J., Faye, B., Luca, F.: Powers of two as sums of three Pell numbers. Taiwanese. J. Math. 21, 739–751 (2017)
5. Ddamulira, M., Luca, F.: On the $$x$$-coordinates of Pell equations which are $$k$$-generalized Fibonacci numbers. J. Number Theory 207, 156–195 (2020)
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