On a Diophantine equation involving Fibonacci numbers and the Ramanujan $$\tau $$-function of factorials
Author:
Funder
National Research Foundation
CoEMaSS
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s13370-021-00950-1.pdf
Reference18 articles.
1. Bollman, M., Hernández, S.H., Luca, F.: Fibonacci numbers which are sums of three factorials. Publ. Math. Debrecen 77, 211–224 (2010)
2. Bravo, J.J., Luca, F.: Factorials and the Ramanujan function. Glasgow J. Math. 58, 177–185 (2016)
3. Bugeaud, Y., Laurent, M.: Minoration effective de la distance $$p$$-adique entre puissances de nombres algébriques. J. Number Theory 61, 311–342 (1996)
4. Bugeaud, Y., Luca, F., Mignotte, M., Siksek, S.: Fibonacci numbers at most one away from a perfect power. Elem. Math. 63, 65–75 (2008)
5. Garaev, M.Z., Garsiya, V.K., Konyagin, S.V.: The Waring problem with Ramanujan’s $$\tau $$-function, (Russian). Izv. Ross. Akad. Nauk Ser. Mat. 72, 39–50 (2008). (translation in Izv. Math. 72, 35–46 (2008))
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the solutions of the Diophantine equation $$P_n\pm \frac{a(10^m-1)}{9}=k!$$;European Journal of Mathematics;2023-05-03
2. On the solutions of the Diophantine equation Fn±a(10m−1)9=k!;Journal of Number Theory;2022-11
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