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

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dc.creatorVoros, A.
dc.date2003-11-04
dc.date.accessioned2026-07-07T06:25:22Z
dc.date.available2026-07-07T06:25:22Z
dc.descriptionWe 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.
dc.descriptionlatex 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
dc.identifierhttps://arxiv.org/abs/math/0311029
dc.identifierhttp://arxiv.org/abs/math/0311029
dc.identifierin book: Zeta Functions, Topology and Quantum Physics, eds. T. Aoki et al., Springer (2005) pp. 171-196
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96813
dc.subjectComplex Variables
dc.subjectNumber Theory
dc.subject11Mxx (Primary) 30B40 30B50 (Secondary)
dc.titleZeta functions over zeros of general zeta and $L$-functions
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