Restricted sum formula for finite and symmetric multiple zeta values

Hideki Murahara, Shingo Saito

Research output: Contribution to journalArticle

Abstract

The sum formula for finite and symmetric multiple zeta values, established by Wakabayashi and the authors, implies that if the weight and depth are fixed and the specified component is required to be more than one, then the values sum up to a rational multiple of the analogue of the Riemann zeta value. We prove that the result remains true if we further demand that the component should be more than two or that another component should also be more than one.

Original languageEnglish
Pages (from-to)325-335
Number of pages11
JournalPacific Journal of Mathematics
Volume303
Issue number1
DOIs
Publication statusPublished - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Restricted sum formula for finite and symmetric multiple zeta values'. Together they form a unique fingerprint.

  • Cite this