Abstract
In this paper we shall derive the order of magnitude for the double zeta-function of Euler-Zagier type in the region 0 ≤ s j < 1 ( j = 1, 2). First we prepare the Euler-Maclaurin summation formula in a suitable form for our purpose, and then we apply the theory of double exponential sums of van der Corput’s type. Mathematics Subject Classification (2000): 11L07 (primary); 11M41 (secondary).
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