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

Published online by Cambridge University Press:  01 May 1998

KOHJI MATSUMOTO
KOHJI MATSUMOTO
Affiliation:
Graduate School of Polymathematics, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan; e-mail: [email protected]
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 3 , May 1998 , pp. 385 - 405
Copyright
Cambridge Philosophical Society 1998

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