eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-09-09 6 5 129 131 10.12691/tjant-6-5-1 TJANT2018651 article Notes on a Double Inequality for Ratios of any Two Neighbouring Non-zero Bernoulli Numbers Feng Qi qifeng618@gmail.com, qifeng618@hotmail.com 1 Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China In the paper, the author notes on a double inequality published in “Feng Qi, A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers, Journal of Computational and Applied Mathematics 351 (2019), 1-5; Available online at https://doi.org/10.1016/j.cam.2018.10.049.” http://pubs.sciepub.com/tjant/6/5/1/tjant-6-5-1.pdf double inequality ratio Bernoulli number Riemann zeta function open problem guess