More Zeta Functions for the Riemann Zeros
More Zeta Functions for the Riemann Zeros
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黎曼零点的更多 Zeta 函数
DOI：
10.1007/3-540-31347-8_9
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
A. Voros
中科院分区：
文献类型：
--
作者：
A. Voros
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Another family of generalized zeta functions built over the Riemann zeros {ρ}, namely(s, x)=✁ ρ (x− ρ)− s, has its analytic properties and (countably many) special values listed in explicit detail.This work is a partial expansion of our first paper [20] on zeta functions built over the Riemann zeros {ρ}, ie, the nontrivial zeros of the Riemann zeta function ζ (s). While our oral presentation was more introductory, here we will pursue a fully parallel treatment, begun in [20], for two such generalized (ie, parametric) zeta functions: