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

Masanobu Kaneko, Shuji Yamamoto

研究成果: Contribution to journalArticle査読

8 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)2499-2521
ページ数23
ジャーナルSelecta Mathematica, New Series
24
3
DOI
出版ステータス出版済み - 7 1 2018

All Science Journal Classification (ASJC) codes

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

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