Preprint Article Version 1 This version is not peer-reviewed

A Double Inequality for the Ratio of Two Consecutive Bernoulli Numbers

Version 1 : Received: 28 August 2017 / Approved: 28 August 2017 / Online: 28 August 2017 (09:30:34 CEST)

How to cite: Qi, F. A Double Inequality for the Ratio of Two Consecutive Bernoulli Numbers. Preprints 2017, 2017080099 (doi: 10.20944/preprints201708.0099.v1). Qi, F. A Double Inequality for the Ratio of Two Consecutive Bernoulli Numbers. Preprints 2017, 2017080099 (doi: 10.20944/preprints201708.0099.v1).

Abstract

In the paper, by virtue of some properties for the Riemann zeta function, the author finds a double inequality for the ratio of two consecutive Bernoulli numbers with even indexes and analyzes the approximating accuracy of the double inequality.

Subject Areas

inequality; ratio; Bernoulli number; Riemann zeta function; Dirichlet eta function; accuracy

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