Powers of two as sums of three Fibonacci numbers

被引：0
作者：
Eric F. Bravo
Jhon J. Bravo
机构：
[1] Universidad del Cauca,Departamento de Matemáticas
来源：
Lithuanian Mathematical Journal | 2015年 / 55卷
关键词：
Diophantine equations; Fibonacci numbers; Zeckendorf representation; linear forms in logarithms; reduction method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We find all positive integer solutions of the Diophantine equation Fn + Fm + Fe = 2a, where Fk is the kth term of the Fibonacci sequence. This paper continues and extends the previous work of J.J. Bravo and F. Luca [On the Diophantine equation Fn + Fm = 2a, Quaest. Math., to appear].
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页码：301 / 311
页数：10
相关论文
共 5 条
  • [1] Luca F(2012)Repdigits as sums of three Fibonacci numbers Math. Commun. 17 1-11
  • [2] Senge HG(1973)PV-numbers and sets of multiplicity Period. Math. Hung. 3 93-100
  • [3] Straus EG(1980)On the representation of an integer in two different bases J. Reine Angew. Math. 319 63-72
  • [4] Stewart CL(1972)Représentation des nombres naturels par une somme de nombres de Fibonacci ou de nombres de Lucas Bull. Soc. R. Sci. Liège 41 179-182
  • [5] Zeckendorf E(undefined)undefined undefined undefined undefined-undefined
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