On complete monotonicity of the Riemann zeta function

Journal of inequalities and applications

Ruiming Zhang¹ 

关键词: Riemann zeta function;    Dirichlet series;    Riemann hypothesis;    complete monotonic functions;   

DOI  :  10.1186/1029-242X-2014-15

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Under the assumption of the Riemann hypothesis for the Riemann zeta function and some Dirichlet L-series we demonstrate that certain products of the corresponding zeta functions are completely monotonic. This may provide a method to disprove a certain Riemann hypothesis numerically. MSC:30E15, 33D45.

【 授权许可】

CC BY