GENERATING FUNCTIONS FOR SUMS OF POLYNOMIAL MULTIPLE ZETA VALUES

Minoru Hirose, Hideki Murahara, Shingo Saito

Research output: Contribution to journalArticlepeer-review

Abstract

The sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values bear a striking resemblance. We explain the resemblance in a rather straightforward manner using an identity that involves the Schur multiple zeta values. We also obtain the sum formula for polynomial multiple zeta(-star) values in terms of generating functions, simultaneously generalizing the sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values.

Original languageEnglish
Pages (from-to)399-428
Number of pages30
JournalTohoku Mathematical Journal
Volume74
Issue number3
DOIs
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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