The Fourth Power Moment of the Double Zeta-function
Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 229
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We prove the fourth power moment of the Euler--Zagier type double zeta-function $\zeta_2(s_1,s_2)$ and provide an improvement on the $\Omega$ results of Kiuchi, Tanigawa, and Zhai. We also calculate the double integral under certain conditions.
Classification :
11M41 11M06
Keywords: double zeta-functions, fourth power moment, the Riemann zeta-function
Keywords: double zeta-functions, fourth power moment, the Riemann zeta-function
@article{10_2298_PIM1614229K,
author = {Isao Kiuchi},
title = {The {Fourth} {Power} {Moment} of the {Double} {Zeta-function}},
journal = {Publications de l'Institut Math\'ematique},
pages = {229 },
publisher = {mathdoc},
volume = {_N_S_100},
number = {114},
year = {2016},
doi = {10.2298/PIM1614229K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1614229K/}
}
TY - JOUR AU - Isao Kiuchi TI - The Fourth Power Moment of the Double Zeta-function JO - Publications de l'Institut Mathématique PY - 2016 SP - 229 VL - _N_S_100 IS - 114 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM1614229K/ DO - 10.2298/PIM1614229K LA - en ID - 10_2298_PIM1614229K ER -
Isao Kiuchi. The Fourth Power Moment of the Double Zeta-function. Publications de l'Institut Mathématique, _N_S_100 (2016) no. 114, p. 229 . doi: 10.2298/PIM1614229K
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