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arXiv 2012-03-10 DOI 10.2969/jmsj/06220355 0 views

Mean value theorems for the double zeta-function

Matsumoto, Kohji · Tsumura, Hirofumi

Original · EN

We prove asymptotic formulas for mean square values of the Euler double zeta-function ζ₂(s₀,s), with respect to s. Those formulas enable us to propose a double analogue of the Lindelöf hypothesis.

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