Zeta functions for the Riemann zeros
André Voros[1]
- [1] CEA, Service de Physique Théorique de Saclay, CNRS URA 2306, 91191 Gif-sur-Yvette Cedex (France)
Annales de l’institut Fourier (2003)
- Volume: 53, Issue: 3, page 665-699
- ISSN: 0373-0956
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topVoros, André. "Zeta functions for the Riemann zeros." Annales de l’institut Fourier 53.3 (2003): 665-699. <http://eudml.org/doc/116048>.
@article{Voros2003,
abstract = {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.},
affiliation = {CEA, Service de Physique Théorique de Saclay, CNRS URA 2306, 91191 Gif-sur-Yvette Cedex (France)},
author = {Voros, André},
journal = {Annales de l’institut Fourier},
keywords = {Riemann Zeta function; Riemann zeros; Dirichlet series; Hadamard factorization; meromorphic functions; Mellin transform},
language = {eng},
number = {3},
pages = {665-699},
publisher = {Association des Annales de l'Institut Fourier},
title = {Zeta functions for the Riemann zeros},
url = {http://eudml.org/doc/116048},
volume = {53},
year = {2003},
}
TY - JOUR
AU - Voros, André
TI - Zeta functions for the Riemann zeros
JO - Annales de l’institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 3
SP - 665
EP - 699
AB - 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.
LA - eng
KW - Riemann Zeta function; Riemann zeros; Dirichlet series; Hadamard factorization; meromorphic functions; Mellin transform
UR - http://eudml.org/doc/116048
ER -
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topReference updated by author André Voros: [41] M. Hirano, N. Kurokawa, M. Nakayama, Half Zeta functions, J. Ramanujan Math. Soc. v. 18 (2003) 195--209.
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