Zeta functions over zeros of general zeta and $L$-functions

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We describe in detail three distinct families of generalized zeta functions built over the (nontrivial) zeros of a rather general arithmetic zeta or L-function, extending the scope of two earlier works that treated the Riemann zeros only. Explicit properties are also displayed more clearly than before. Several tables of formulae cover the simplest concrete cases: L-functions for real primitive Dirichlet characters, and Dedekind zeta functions.
latex ell.tex, 1 file, 26 pages, 7 tables; in: Proceedings of The International Symposium on Zeta Functions, Topology and Quantum Physics (ZTQ 2003) Osaka, Japan March 3-6 2003

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Complex Variables, Number Theory, 11Mxx (Primary) 30B40 30B50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/96813

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311029
 http://arxiv.org/abs/math/0311029
 in book: Zeta Functions, Topology and Quantum Physics, eds. T. Aoki et al., Springer (2005) pp. 171-196

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arXiv