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Currently displaying 1 – 3 of 3

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Power Moments of the Error Term for the Approximate Functional Equation of the Riemann Zeta-function

Isao Kiuchi — 1992

Publications de l'Institut Mathématique

Mean value results for the approximate functional equation of the square of the Riemann zeta-function

Isao Kiuchi; Kohji Matsumoto — 1992

Acta Arithmetica

Bounds for double zeta-functions

Isao Kiuchi; Yoshio Tanigawa — 2006

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this paper we shall derive the order of magnitude for the double zeta-functionof Euler-Zagier type in the region $0 \leq ℜ s_{j} < 1 (j = 1, 2)$ .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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