文章基本信息

标题：A new generalization of the Riemann zeta function and its difference equation
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作者：Muhammad Aslam Chaudhry ; Asghar Qadir ; Asifa Tassaddiq 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：20
DOI：10.1186/1687-1847-2011-20
语种：English
出版社：Hindawi Publishing Corporation
摘要：We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip. It approximates the trivial and non-trivial zeros of the Riemann zeta function. Some properties of the generalized Riemann zeta function are investigated. The relation between the function and the general Hurwitz zeta function is exploited to deduce new identities.
关键词：Riemann zeta function ; Hurwitz zeta function ; Polylogarithm function ; Extended Fermi-Dirac ; Bose-Einstein