Pell Equations and <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mi mathvariant="normal">ℱ</mi> </mrow> <mrow> <msup> <mrow> <mi>p</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msup> </mrow> </msub> </math>-Continued Fractions
نویسندگان
چکیده
In this note, the solvability of Pell equation, X 2 − D Y = 1 , is discussed over id="M3"> ℤ × p l . particular, we show that equation solvable id="M4"> for each prime id="M5"> and natural number id="M6"> Moreover, solutions to id="M7"> are completely determined by id="M8"> ℱ -continued fraction expansion id="M9">
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2022
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2022/2085717