An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.

Katsurada, Masanori. "An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.." Collectanea Mathematica 48.1-2 (1997): 137-153. <http://eudml.org/doc/40407>.

@article{Katsurada1997,
abstract = {We shall establish full asymptotic expansions for the mean squares of Lerch zeta-functions, based on F. V. Atkinson's device. Mellin-Barnes' type integral expression for an infinite double sum will play a central role in the derivation of our main formulae.},
author = {Katsurada, Masanori},
journal = {Collectanea Mathematica},
keywords = {Función zeta; Funciones integrales; Teoría algebraica de números; Media cuadrática; Riemann zeta-function; Hurwitz zeta-function; Lerch zeta-function; mean square; asymptotic expansion; Mellin-Barnes type integral formulae; hypergeometric function},
language = {eng},
number = {1-2},
pages = {137-153},
title = {An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.},
url = {http://eudml.org/doc/40407},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Katsurada, Masanori
TI - An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 1-2
SP - 137
EP - 153
AB - We shall establish full asymptotic expansions for the mean squares of Lerch zeta-functions, based on F. V. Atkinson's device. Mellin-Barnes' type integral expression for an infinite double sum will play a central role in the derivation of our main formulae.
LA - eng
KW - Función zeta; Funciones integrales; Teoría algebraica de números; Media cuadrática; Riemann zeta-function; Hurwitz zeta-function; Lerch zeta-function; mean square; asymptotic expansion; Mellin-Barnes type integral formulae; hypergeometric function
UR - http://eudml.org/doc/40407
ER -