Name
Abstract | ||
|---|---|---|
Carlitz solved some Diophantine equations on Fibonacci or Lucas numbers. We extend his results to the sequence of generalized Fibonacci and Lucas numbers. In this paper, we solve the Diophantine equations of the form A(n1) . . . A(nk) = B-m1 . . . B-mr C-t1 . . . C-ts, where (A(n)), (B-m), and (C-t) are generalized Fibonacci or Lucas numbers. Especially, we also find all solutions of symmetric Diophantine equations U-a1 U-a2 . . . U-am = U-b1 U-b2 . . . U-bn, where 1 < a(1) <= a(2) <= . . . <= a(m), and 1 < b(1) <= b(2) <= . . . <= b(n). |
Year | DOI | Venue |
|---|---|---|
2022 | 10.3390/sym14040764 | SYMMETRY-BASEL |
Keywords | DocType | Volume |
Fibonacci numbers, Lucas numbers, Diophantine equation | Journal | 14 |
Issue | ISSN | Citations |
4 | 2073-8994 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Min Wang | 1 | 76 | 27.77 |
| Peng Yang | 2 | 0 | 0.34 |
| Yining Yang | 3 | 0 | 0.34 |