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An identity involving weighted and desingularized multiple zeta functions

Volume 202 / 2022

Dilip K. Sahoo, G. K. Viswanadham Acta Arithmetica 202 (2022), 195-202 MSC: Primary 11M32. DOI: 10.4064/aa210311-3-11 Published online: 21 February 2022

Abstract

We prove an identity involving the weighted multiple zeta functions of J. Mehta et al. and the desingularized multiple zeta functions of Furusho et al. As an application of this identity we obtain desingularization for all the weighted multiple zeta functions, in particular for the multiple zeta star function.

Authors

  • Dilip K. SahooIISER Berhampur
    Berhampur, Odisha 760010, India
    e-mail
  • G. K. ViswanadhamIISER Berhampur
    Berhampur, Odisha 760010, India
    e-mail

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