In this paper we shall derive the order of magnitude for the double zeta-functionof Euler-Zagier type in the region .First we prepare the Euler-Maclaurinsummation formula in a suitable form for our purpose, and then we apply the theory of doubleexponential sums of van der Corput’s type.
@article{ASNSP_2006_5_5_4_445_0,
author = {Kiuchi, Isao and Tanigawa, Yoshio},
title = {Bounds for double zeta-functions},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {445--464},
year = {2006},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 5},
number = {4},
mrnumber = {2297719},
zbl = {1170.11317},
language = {en},
url = {https://www.numdam.org/item/ASNSP_2006_5_5_4_445_0/}
}
TY - JOUR AU - Kiuchi, Isao AU - Tanigawa, Yoshio TI - Bounds for double zeta-functions JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2006 SP - 445 EP - 464 VL - 5 IS - 4 PB - Scuola Normale Superiore, Pisa UR - https://www.numdam.org/item/ASNSP_2006_5_5_4_445_0/ LA - en ID - ASNSP_2006_5_5_4_445_0 ER -
%0 Journal Article %A Kiuchi, Isao %A Tanigawa, Yoshio %T Bounds for double zeta-functions %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2006 %P 445-464 %V 5 %N 4 %I Scuola Normale Superiore, Pisa %U https://www.numdam.org/item/ASNSP_2006_5_5_4_445_0/ %G en %F ASNSP_2006_5_5_4_445_0
Kiuchi, Isao; Tanigawa, Yoshio. Bounds for double zeta-functions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 5 (2006) no. 4, pp. 445-464. https://www.numdam.org/item/ASNSP_2006_5_5_4_445_0/
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