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
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
Keywords: Riemann zeta-function, non-trivial zeros, asymptotic formula
@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 -
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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
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