Abstract
In this paper, the authors investigate two special families of series involving the reciprocal central binomial coefficients and Lucas numbers. Connections with several familiar sums representing the integer-valued Riemann zeta function are also pointed out.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. The Theory of the Riemann Zeta-Function;Titchmarsh,1951
2. Irrationalité de ζ2 et ζ(3). In Journées Arithmétiques de Luminy; Colloq. Internat. CNRS, Centre Univ. Luminy, Luminy, 1978;Apéry;Astérisque,1979
3. Some Families of Series Representations for the Riemann ζ(3)
4. The Zeta and Related Functions: Recent Developments
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献