Pell Equations and ℱpl-Continued Fractions

Seema Kushwaha and Serkan Araci

Journal of Mathematics, 2022, vol. 2022, 1-10

Abstract: In this note, the solvability of the Pell equation, X2−DY2=1, is discussed over ℤ×plℤ. In particular, we show that this equation is solvable over ℤ×plℤ for each prime p and natural number l. Moreover, we show that solutions to the Pell equation over ℤ×plℤ are completely determined by the ℱpl-continued fraction expansion of D.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2022/2085717.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2022/2085717.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2085717

DOI: 10.1155/2022/2085717

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().