Zeta functions for Riemann zeros

Details Zeta functions for Riemann zeros Zeta functions for Riemann zeros

2001-04-04

arxiv.org/abs/math/0104051v4

Ann. Inst. Fourier, Grenoble 53, 3 (2003) 665-699 + ERRATUM 54, 4 (2004) 1139

Mathematics

Complex Variables

latex txt.tex, 1 file, 2 tables, 27 pages [SPhT-T01/033]. V4: typos corrected, note (end Sec. 3.3) and references added in pro

Scientific paper

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 structure, plus countably many special
values) are explicitly displayed.

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