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on the solutions of the diophantine equation $f_{n_1}+f_{n_2}+f_{n_3}+f_{n_4}=11^a$
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نویسنده
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earp-lynch benjamin ,earp-lynch simon ,el baz asmae
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منبع
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journal of algebra and related topics - 2025 - دوره : 13 - شماره : 1 - صفحه:73 -85
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چکیده
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Let $f_{n}$ denote the $n$th fibonacci number. in this paper, we solve the diophantine equation $f_{n_1}+f_{n_2}+f_{n_3}+f_{n_4}=y^a$ in integers $n_1,n_2,n_3,n_4,a$ for $y=11$. in doing so, we disprove a recent conjecture made by diouf and tiebekabe in cite{d-t}.
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کلیدواژه
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linear recurrences، exponential diophantine problems، baker’s method
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آدرس
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carleton university, department of mathematics, canada, carleton university, department of mathematics, canada, la faculté des sciences dhar el mahraz fès, department of mathematics, morocco
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پست الکترونیکی
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asmae.elbaz@usmba.ac.ma
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Authors
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