Mean value theorems for the double zeta-function

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 Lindel{ö}f hypothesis.

23 pages

References in corpus (1)

• Mean value theorems for the double zeta-function

Cited by in corpus (16)

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