Infinite Series Involving Fibonacci Numbers Via Apéry-Like Formulae

2016/03/10 by Sanford, Chance
#11B39 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1603.03765

Abstract

In this note, infinite series involving Fibonacci and Lucas numbers are derived by employing formulae similar to that which Roger Apéry utilized in his seminal paper proving the irrationality of ζ(3).

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