BALANCING WITH POWERS OF THE LUCAS SEQUENCE OF RECURRENCE un = Aun-1 - un-2
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Miskolc Inst Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we show that there is no solution of the diophantine equation u(1)(k) + u(2)(k) + . . . + u(n+1)(l) + u(n+2)(l) + . . . + u(n+r)(l) for special cases of k and l where the elements of sequence {u(n)} satisfy the relation u(n) = Aun-1 - u(n-2) with u(0) = 0, u(1) = 1 and A >= 3 is a positive integer.
Açıklama
Anahtar Kelimeler
Diophantine equation, Lucas sequence
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
18
Sayı
2
