Greatest common divisors of shifted balancing numbers

  • Prasanta Kumar Ray Department of Mathematics, International Institute of Information and Technology (IIIT) , Bhubaneswar, Odisha,

Resumen

It is well known that the successive balancing numbers are relatively prime. Let for all integers a, sn(a) denotes the greatest common divisor of the shifted balancing numbers of the form sn(a) = gcd(Bn 􀀀 a; Bn+1 􀀀 6a).
In this study, we will show that fsn(1)g is unbounded whereas fsn(a)g is
bounded for a 6= 1.

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Biografía del autor/a

Prasanta Kumar Ray, Department of Mathematics, International Institute of Information and Technology (IIIT) , Bhubaneswar, Odisha,

Assistant Professor

Department of Mathematics

 

Publicado
2016-10-25
Sección
Research Articles