A new integral–series identity of multiple zeta values and regularizations

Masanobu Kaneko, Shuji Yamamoto

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


We present a new “integral = series” type identity of multiple zeta values, and show that this is equivalent in a suitable sense to the fundamental theorem of regularization. We conjecture that this identity is enough to describe all linear relations of multiple zeta values over Q. We also establish the regularization theorem for multiple zeta-star values, which too is equivalent to our new identity. A connection to Kawashima’s relation is discussed as well.

Original languageEnglish
Pages (from-to)2499-2521
Number of pages23
JournalSelecta Mathematica, New Series
Issue number3
Publication statusPublished - 2018 Jul 1


  • Kawashima’s relation
  • Multiple zeta values
  • Multiple zeta-star values
  • Regularized double shuffle relation

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)


Dive into the research topics of 'A new integral–series identity of multiple zeta values and regularizations'. Together they form a unique fingerprint.

Cite this