For m >= 2, the equation (L_m)^n + (L_m)^(n+k) = L_r has no positive integer solutions in r, m, n, and k.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On a Diophantine Equation Involving Lucas Numbers
For m >= 2, the equation (L_m)^n + (L_m)^(n+k) = L_r has no positive integer solutions in r, m, n, and k.