Abstract
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 related the Riemann zeros only. Explicit properties are also displayed more clearly than before. Several tabls of formulae cover the simplest concrete cases: L-functions for real primitive Dirichlet characters, and Dedekind zeta functions.
Also at: Institut de Mathématiques de Jussieu-Chevaleret (CNRS UMR 7586), Université Paris 7, F-75251 Paris Cedex 05, (France)
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Voros, A. (2005). Zeta Functions Over Zeros of General Zeta and L-Functions. In: Aoki, T., Kanemitsu, S., Nakahara, M., Ohno, Y. (eds) Zeta Functions, Topology and Quantum Physics. Developments in Mathematics, vol 14. Springer, Boston, MA. https://doi.org/10.1007/0-387-24981-8_10
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DOI: https://doi.org/10.1007/0-387-24981-8_10
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