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

Collectanea Mathematica (1997)

- Volume: 48, Issue: 1-2, page 137-153
- ISSN: 0010-0757

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topKatsurada, 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 -

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