Geodesic
On Mellin-barnes Type of Integrals and Sumsassociated With the Riemann Zeta-function}
Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 13 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Two types (binomial and exponential types) of power series, together with a related sum, associated with the Riemann zeta-function $\zeta(s)$ will be investigated by using Mellin-Barnes type integrals. As for generalizations of these sums we shall introduce hypergeometric type generating functions of $\zeta(s)$ and derive their basic properties.
Classification : 11M06 11M41
Keywords: Riemann zeta-function, Hurwitz zeta-function, Mellin-Barnes integral, hypergeometric function 
@article{PIM_1997_N_S_62_76_a1,
     author = {Masanori Katsurada},
     title = {On {Mellin-barnes} {Type} of {Integrals} and {Sumsassociated} {With} the {Riemann} {Zeta-function}}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {13 },
     publisher = {mathdoc},
     volume = {_N_S_62},
     number = {76},
     year = {1997},
     zbl = {0885.11052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a1/}
}
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Masanori Katsurada. On Mellin-barnes Type of Integrals and Sumsassociated With the Riemann Zeta-function}. Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 13 . http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a1/