Geodesic
An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function
Publications de l'Institut Mathématique, _N_S_76 (2004) no. 90, p. 81

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

DOI Zbl

E. Landau gave an interesting asymptotic formula for a sum involving zeros of the Riemann zeta-function. We give an asymptotic formula which can be regarded as a smoothed version of Landau's formula.
DOI : 10.2298/PIM0476081K
Classification : 11M36
Keywords: Riemann zeta-function, non-trivial zeros, asymptotic formula 
Yuichi Kamiya; Masatoshi Suzuki. An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function. Publications de l'Institut Mathématique, _N_S_76 (2004) no. 90, p. 81 . doi: 10.2298/PIM0476081K
@article{10_2298_PIM0476081K,
     author = {Yuichi Kamiya and Masatoshi Suzuki},
     title = {An {Asymptotic} {Formula} for a sum {Involving} {Zeros} of the {Riemann} {Zeta-function}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {81 },
     year = {2004},
     volume = {_N_S_76},
     number = {90},
     doi = {10.2298/PIM0476081K},
     zbl = {1150.11031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0476081K/}
}
TY  - JOUR
AU  - Yuichi Kamiya
AU  - Masatoshi Suzuki
TI  - An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function
JO  - Publications de l'Institut Mathématique
PY  - 2004
SP  - 81 
VL  - _N_S_76
IS  - 90
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0476081K/
DO  - 10.2298/PIM0476081K
LA  - en
ID  - 10_2298_PIM0476081K
ER  - 
%0 Journal Article
%A Yuichi Kamiya
%A Masatoshi Suzuki
%T An Asymptotic Formula for a sum Involving Zeros of the Riemann Zeta-function
%J Publications de l'Institut Mathématique
%D 2004
%P 81 
%V _N_S_76
%N 90
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0476081K/
%R 10.2298/PIM0476081K
%G en
%F 10_2298_PIM0476081K

Cité par Sources :