General infinite series evaluations involving Fibonacci numbers and the Riemann Zeta function

2020/05/06 by Frontczak, Robert, Goy, Taras
#11B39 #11M06 #40C15 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2005.02685

Abstract

The purpose of this article is to present closed forms for various types of infinite series involving Fibonacci (Lucas) numbers and the Riemann zeta function at integer arguments.

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