Finite and symmetric Mordell–Tornheim multiple zeta values

• Bachmann Henrik

  Graduate School of Mathematics, Nagoya University

• Takeyama Yoshihiro

  Department of Mathematics, Faculty of Pure and Applied Sciences, University of Tsukuba

• Tasaka Koji

  Department of Information Science and Technology, Aichi Prefectural University

Abstract

We introduce finite and symmetric Mordell–Tornheim type of multiple zeta values and give a new approach to the Kaneko–Zagier conjecture stating that the finite and symmetric multiple zeta values satisfy the same relations.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 73 (4), 1129-1158, 2021

  The Mathematical Society of Japan

Keywords

• Kaneko–Zagier conjecture (finite multiple zeta values and symmetric multiple zeta values)
• Mordell–Tornheim multiple zeta values
• Mordell–Tornheim–Witten (𝑞-)multiple zeta values

Details

• CRID: 1390008321597429760
• NII Article ID: 130008106917
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/84348434
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 031756576
• Web Site: http://id.ndl.go.jp/bib/031756576
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I031756576
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed