کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4593929 | 1630678 | 2014 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On continued fraction development of quadratic irrationals having all periodic terms but last equal and associated general solutions of the Pell equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On continued fraction development of quadratic irrationals having all periodic terms but last equal and associated general solutions of the Pell equation On continued fraction development of quadratic irrationals having all periodic terms but last equal and associated general solutions of the Pell equation](/preview/png/4593929.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 136, March 2014, Pages 339–353
Journal: Journal of Number Theory - Volume 136, March 2014, Pages 339–353
نویسندگان
V. Pletser,