An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.
Katsurada, Masanori
Collectanea Mathematica, Tome 48 (1997), p. 137-153 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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.

Publié le : 1997-01-01
DMLE-ID : 303 
@article{urn:eudml:doc:40407,
     title = {An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.},
     journal = {Collectanea Mathematica},
     volume = {48},
     year = {1997},
     pages = {137-153},
     zbl = {0891.11042},
     mrnumber = {MR1464021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40407}
}

Katsurada, Masanori. An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.. Collectanea Mathematica, Tome 48 (1997) pp. 137-153. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40407/