Asymptotic analysis and special values of generalised multiple zeta functions
Volume 97 / 2012
Banach Center Publications 97 (2012), 179-190
MSC: Primary 11M32, 34M03, 34M30; Secondary 33C20, 11G55.
DOI: 10.4064/bc97-0-14
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.
