Number Theory pp 153-173

Analytic Properties of Multiple Zeta-Functions in Several Variables

  • Kohji Matsumoto
Conference paper

DOI: 10.1007/0-387-30829-6_11

Part of the Developments in Mathematics book series (DEVM, volume 15)
Cite this paper as:
Matsumoto K. (2006) Analytic Properties of Multiple Zeta-Functions in Several Variables. In: Zhang W., Tanigawa Y. (eds) Number Theory. Developments in Mathematics, vol 15. Springer, Boston, MA

Abstract

We report several recent results on analytic properties of multiple zeta-functions, mainly in several variables, such as the analytic continuation, the asymptotic behaviour, the location of singularities, and the recursive structure. Some results presented in this paper have never been published before.

Keywords

multiple zeta-function analytic continuation Mellin-Barnes integral 

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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • Kohji Matsumoto
    • 1
  1. 1.Graduate School of MathematicsNagoya UniversityNagoyaJapan

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