Bounds for triple zeta-functions |
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| Authors: | I. Kiuchi |
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| Affiliation: | a Department of Mathematical Sciences, Faculty of Science, Yamaguchi University, Yoshida 1677-1 Yamaguchi 753-8512, Japan
b Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan |
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| Abstract: | In the present paper we consider the problem of the order of magnitude for the triple zeta-functions of Euler-Zagier type in the region 0≤ ℜsj < 1 (j = 1,2,3). We apply the Euler-Maclaurin summation formula and van der Corput's method of multiple exponential sums to the triple zeta-functions. |
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| Keywords: | 11L07 11M41 33B10 |
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