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 ).
Generalized Fibonacci numbers Generalized Lucas numbers 2000 AMS Classification: 11B37
Birincil Dil | İngilizce |
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Konular | İstatistik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Mart 2013 |
Yayımlandığı Sayı | Yıl 2013 Cilt: 42 Sayı: 3 |