Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593929 | Journal of Number Theory | 2014 | 15 Pages |
Abstract
Using Fibonacci polynomials, a general expression of all quadratic irrationals is given such that their continued fraction development has a same integer value for all periodic terms but last. General analytical expressions are then deduced for the fundamental solutions of the associated Pell equation.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
V. Pletser,