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

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Zbl

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 
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/
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     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 },
     year = {1997},
     volume = {_N_S_62},
     number = {76},
     zbl = {0885.11052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a1/}
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