On the sum of three arbitrary Fibonacci and Lucas numbers
Özet
In this paper, we solve the equations
L-k = F-n + F-m + F-r,F-
F-k = F-n + F-m + F-r,
L-k = E-n + L-m + L-r,
F-k = E-n + L-m + F-L,
for 0 < r <= m <= n and a natural number k. It is shown that only the
equation F-k = L-n+ L-m + L-r has a finite number of solutions. The
others have infinitely many solutions.
Koleksiyonlar
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