Mathematical Proceedings of the Cambridge Philosophical Society



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


KOHJI MATSUMOTO a1
a1 Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan; e-mail: kohjimat@math.nagoya-u.ac.jp

Abstract

Asymptotic expansions of the Barnes double zeta-function

formula here

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.

(Received April 1 1996)
(Revised December 2 1996)