Asymptotic series for double zeta, double gamma, and Hecke L-functions

KOHJI MATSUMOTO

doi:10.1017/S0305004197002168

Abstract

Asymptotic expansions of the Barnes double zeta-function

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and the double gamma-function Γ2(α, (1, w)), with respect to the parameter w, are proved. An application to Hecke L-functions of real quadratic fields is also discussed.

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Asymptotic series for double zeta, double gamma, and Hecke L-functions

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Asymptotic series for double zeta, double gamma, and Hecke L-functions

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