Diana Savin
Abstract
In this paper we study the Diophantine equation x 4 i 6x 2 y 2 + 5y 4 = 16Fni1Fn+1, where (Fn) n¸0 is the Fibonacci sequence and we find a class of such equations having solutions which are determined.
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In this paper we study the Diophantine equation x 4 i 6x 2 y 2 + 5y 4 = 16Fni1Fn+1, where (Fn) n¸0 is the Fibonacci sequence and we find a class of such equations having solutions which are determined.
Key concepts: Diophantine equation, Fibonacci number, Diophantine set, Legendre's equation, Thue equation, Mathematics, Sequence (biology), Class (philosophy)