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Zeta functions for the Riemann zeros. (English) Zbl 1114.11077
Ann. Inst. Fourier 53, No. 3, 665-699 (2003); erratum ibid. 54, No. 4, 1139 (2003).
Summary: A family of zeta-functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.

MSC:
11M41 Other Dirichlet series and zeta functions
11M06 \(\zeta (s)\) and \(L(s, \chi)\)
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