Abstract
We prove asymptotic formulas for mean square values of the Euler double zeta-function $\zeta_2(s_0,s)$, with respect to $\Im s$. Those formulas enable us to propose a double analogue of the Lindelöf hypothesis.
Citation
Kohji MATSUMOTO. Hirofumi TSUMURA. "Mean value theorems for the double zeta-function." J. Math. Soc. Japan 67 (1) 383 - 406, January, 2015. https://doi.org/10.2969/jmsj/06710383
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