Asymptotic analysis and special values of generalised multiple zeta functions

M. Zakrzewski. "Asymptotic analysis and special values of generalised multiple zeta functions." Banach Center Publications 97.1 (2012): 179-190. <http://eudml.org/doc/282082>.

@article{M2012,
abstract = {This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as the meromorphic differential equations.},
author = {M. Zakrzewski},
journal = {Banach Center Publications},
keywords = {multiple Dirichlet series and zeta functions; multiple zeta and L-functions; generalised hypergeometric functions; asymptotics; linear differential equations in complex domain; generalised polylogarithms},
language = {eng},
number = {1},
pages = {179-190},
title = {Asymptotic analysis and special values of generalised multiple zeta functions},
url = {http://eudml.org/doc/282082},
volume = {97},
year = {2012},
}

TY - JOUR
AU - M. Zakrzewski
TI - Asymptotic analysis and special values of generalised multiple zeta functions
JO - Banach Center Publications
PY - 2012
VL - 97
IS - 1
SP - 179
EP - 190
AB - This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as the meromorphic differential equations.
LA - eng
KW - multiple Dirichlet series and zeta functions; multiple zeta and L-functions; generalised hypergeometric functions; asymptotics; linear differential equations in complex domain; generalised polylogarithms
UR - http://eudml.org/doc/282082
ER -