Mean value theorems for double zeta-functions I

Details Mean value theorems for double zeta-functions I Mean value theorems for double zeta-functions I

2012-03-10

arxiv.org/abs/1203.2242v1

Mathematics

Number Theory

20 pages

Scientific paper

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 Lindel{\"o}f hypothesis.

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