Corpus ID: 119556555

Some New Identities Concerning Generalized Fibonacciand Lucas Numbers

@article{Siar2013SomeNI,
  title={Some New Identities Concerning Generalized Fibonacciand Lucas Numbers},
  author={Z. Siar and R. Keskin},
  journal={Hacettepe Journal of Mathematics and Statistics},
  year={2013},
  volume={42},
  pages={211-222}
}
  • Z. Siar, R. Keskin
  • Published 2013
  • Mathematics
  • Hacettepe Journal of Mathematics and Statistics
In this paper we obtain some identities containing generalized Fibonacciand Lucas numbers. Some of them are new and some are well known.By using some of these identities we give some congruences concerninggeneralized Fibonacci and Lucas numbers such asV 2mn+r ≡ (−(−t)m ) n V r (mod Vm ), U 2mn+r ≡ (− (−t)m ) n U r (mod Vm ), and V 2mn+r ≡ (−t)mn V r (mod Um ), U 2mn+r ≡ (−t)mn U r (mod Um ). 
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