Asymptotic analysis and special values of generalised multiple zeta functions

• Autorzy: M. Zakrzewski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34M03: Linear equations and systems
• 33C20: Generalized hypergeometric series, p F q
• 11M32: Multiple Dirichlet series and zeta functions and multizeta values
• 34M30: Asymptotics, summation methods
• 11G55: Polylogarithms and relations with K -theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 97
• Numer: 1
• Strony: 179-190

Daty

wydano

2012

Twórcy

autor

M. Zakrzewski

• Institute of Mathematics, Jan Kochanowski University, ul. Świętokrzyska 15, 25-406 Kielce, Poland

Identyfikatory

DOI

10.4064/bc97-0-14