Abstract
We prove the mean square formula of the Euler--Zagier type double zeta-function $\zeta_{2}(s_{1},s_{2})$ and provide an improvement on the $\Omega$ results of Kiuchi, Tanigawa, and Zhai. We also calculate the double integral $\int_{2}^{N}\int_{2}^{T}|\zeta_{2}(s_{1},s_{2})|^{2}dt_{1} dt_{2}$ under certain conditions.
Citation
Isao Kiuchi. Makoto Minamide. "Mean square formula for the double zeta-function." Funct. Approx. Comment. Math. 55 (1) 31 - 43, September 2016. https://doi.org/10.7169/facm/2016.55.1.3
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