A+ CATEGORY SCIENTIFIC UNIT

Asymptotic analysis and special values of generalised multiple zeta functions

Volume 97 / 2012

M. Zakrzewski 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.

Authors

  • M. ZakrzewskiInstitute of Mathematics
    Jan Kochanowski University
    ul. Świętokrzyska 15
    25-406 Kielce, Poland
    e-mail

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