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   ON SOLUTIONS OF THE DIOPHANTINE EQUATION Fn1 + Fn2 + Fn3 + Fn4 = 2a  
   
نویسنده tiebekabe p. ,diouf i.
منبع journal of algebra and related topics - 2021 - دوره : 9 - شماره : 2 - صفحه:131 -148
چکیده    Let (fn)n≥0 be the fibonacci sequence given by f0 =0, f1 = 1 and fn+2 = fn+1 + fn for n ≥ 0. in this paper, we solve all powers of two which are sums of four fibonacci numbers with a few exceptions that we characterize.
کلیدواژه Linear forms in logarithm ,Diophantine equations ,Fibonacci sequence ,Lucas sequence ,perfect powers.
آدرس university of cheikh anta diop, department of mathematics and computer science, Senegal. universit´e de kara, facult´e des sciences et techniques (fast), Togo, university of cheikh anta diop, department of mathematics and computer science, Senegal
پست الکترونیکی ismaila.diouf@ucad.edu.sn
 
     
   
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