期刊名称：Computational Methods in Science and Technology
印刷版ISSN：1505-0602
出版年度：2018
卷号：24
期号：4
页码：215-220
DOI：10.12921/cmst.2018.0000049
出版社：Poznan Supercomputing and Networking Center
摘要：We have used the first 2600 nontrivial zeros γl of the Riemann zeta function calculated with 1000 digits accuracy and developed them into the continued fractions. We calculated the geometrical means of the denominators of these con- tinued fractions and for all cases we get values close to the Khinchin’s constant, which suggests that γl are irrational. Next we have calculated the n-th square roots of the denominators Qn of the convergents of the continued fractions obtaining values close to the Khinchin-Lévy constant, again supporting the common opinion that γl are irrational.
