Derives explicit double-sum-plus-log expressions for Laurent coefficients of Barnes double zeta at s=1 and s=2, with simpler asymptotics than the Hurwitz case.
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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.
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On the Laurent series expansions of the Barnes double zeta function
Derives explicit double-sum-plus-log expressions for Laurent coefficients of Barnes double zeta at s=1 and s=2, with simpler asymptotics than the Hurwitz case.
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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.