Bounds for double zeta-functions

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 5 (4):445-464 (2006)
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Abstract

In this paper we shall derive the order of magnitude for the double zeta-functionof Euler-Zagier type in the region $0 \le \Re s_j <1 \ \ $.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

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10.2422/2036-2145.2006.4.02

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