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

Masanobu Kaneko, Shuji Yamamoto

研究成果: Article

2 引用 (Scopus)

抄録

We present a new “integral (Formula presented.) 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 (Formula presented.). 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.

元の言語English
ページ(範囲)1-23
ページ数23
ジャーナルSelecta Mathematica, New Series
DOI
出版物ステータスAccepted/In press - 2018 2 16

Fingerprint

Multiple zeta Values
Regularization
theorems
Linear Relation
Integral Formula
Theorem
Star
stars
Series

ASJC Scopus subject areas

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

これを引用

A new integral–series identity of multiple zeta values and regularizations. / Kaneko, Masanobu; Yamamoto, Shuji.

:: Selecta Mathematica, New Series, 16.02.2018, p. 1-23.

研究成果: Article

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