Prasanta Kumar RAY, Nurettin IRMAK, Bijan Kumar PATEL

7092

The rank of apparition of powers of Lucas sequence

This note is devoted to studying the divisibility relation $u_{n}^{k+1}|u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.
Keywords:

Lucas sequence periodicity, rank of apparition, $p$-adic order,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Miroslav DOUPOVEC, Jan KUREK, Wlodzimierz MIKULSKI

Mehmet ONAT, Ali Arslan ÖZKURT

On the numerical range of square matrices with coefficients in a degree 2 Galois field extension

Edoardo BALLICO

Yessine DAMMAK

Extended Laguerre–Appell polynomials via fractional operators and their determinant forms

Subuhi KHAN, Shahid Ahmad WANI

Emel YILDIRIM

Ayberk ZEYTİN

Yeşim SAĞLAM ÖZKAN, Sezayi HIZLIYEL

Hari SRIVASTAVA, Rabha ELASHWAH, W KOTA

A study of the tubular surfaces constructed by the spherical indicatrices in Euclidean 3−space

Yusuf YAYLI, Fatma ATEŞ, Erdem KOCAKUŞAKLI, İsmail GÖK