Derives functional equation for Barnes double zeta function ζ₂(s, α; v, w) and obtains upper bounds in t plus Lindelöf analogue via Phragmén-Lindelöf convexity.
Arakawa , Generalized eta-functions and certain ray class invariants of rea l quadratic fields, Math
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Functional equation, upper bounds and analogue of Lindel\"of hypothesis for the Barnes double zeta function
Derives functional equation for Barnes double zeta function ζ₂(s, α; v, w) and obtains upper bounds in t plus Lindelöf analogue via Phragmén-Lindelöf convexity.