The terms of the form 7kx² in the generalized Lucas sequence with parameters P and Q
Acta Arithmetica (2016)
- Volume: 173, Issue: 1, page 81-95
- ISSN: 0065-1036
Access Full Article
top
Abstract
topHow to cite
topOlcay Karaatlı. "The terms of the form 7kx² in the generalized Lucas sequence with parameters P and Q." Acta Arithmetica 173.1 (2016): 81-95. <http://eudml.org/doc/286649>.
@article{OlcayKaraatlı2016,
abstract = {Let Vₙ(P,Q) denote the generalized Lucas sequence with parameters P and Q. For all odd relatively prime values of P and Q such that P² + 4Q > 0, we determine all indices n such that Vₙ(P,Q) = 7kx² when k|P. As an application, we determine all indices n such that the equation Vₙ = 21x² has solutions.},
author = {Olcay Karaatlı},
journal = {Acta Arithmetica},
keywords = {generalized Fibonacci numbers; generalized Lucas numbers; congruences; Jacobi symbol},
language = {eng},
number = {1},
pages = {81-95},
title = {The terms of the form 7kx² in the generalized Lucas sequence with parameters P and Q},
url = {http://eudml.org/doc/286649},
volume = {173},
year = {2016},
}
TY - JOUR
AU - Olcay Karaatlı
TI - The terms of the form 7kx² in the generalized Lucas sequence with parameters P and Q
JO - Acta Arithmetica
PY - 2016
VL - 173
IS - 1
SP - 81
EP - 95
AB - Let Vₙ(P,Q) denote the generalized Lucas sequence with parameters P and Q. For all odd relatively prime values of P and Q such that P² + 4Q > 0, we determine all indices n such that Vₙ(P,Q) = 7kx² when k|P. As an application, we determine all indices n such that the equation Vₙ = 21x² has solutions.
LA - eng
KW - generalized Fibonacci numbers; generalized Lucas numbers; congruences; Jacobi symbol
UR - http://eudml.org/doc/286649
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.