Mean value theorems for the double zeta-function

preprint2014arXivOpen access

We prove asymptotic formulas for mean square values of the Euler double zeta-function $ζ_2(s_0,s)$ , with respect to $\Im s$ . Those formulas enable us to propose a double analogue of the Lindel{ö}f hypothesis.

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Mean value theorems for the double zeta-function

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