On a sequence of integers arising from simultaneous Pell equations

Luca, Florian; Walsh, Peter Gareth

Funct. Approx. Comment. Math., Volume 38 (2008) no. 1, p. 221-226 / Harvested from Project Euclid

Abstract

We define a sequence of squarefree positive integers which arise naturally in the context of the solvability of a family of simultaneous Pell equations. It is proved that, apart from an explicitly given finite subset, each integer in this sequence has at least eight prime factors.

Published online : 2008-09-15
Classification: Pell equations, simultaneous Pell equations, 11D25

@article{1229696540,
     author = {Luca, Florian and Walsh, Peter Gareth},
     title = {On a sequence of integers arising from simultaneous Pell equations},
     journal = {Funct. Approx. Comment. Math.},
     volume = {38},
     number = {1},
     year = {2008},
     pages = { 221-226},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1229696540}
}

Luca, Florian; Walsh, Peter Gareth. On a sequence of integers arising from simultaneous Pell equations. Funct. Approx. Comment. Math., Volume 38 (2008) no. 1, pp.  221-226. http://gdmltest.u-ga.fr/item/1229696540/