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

• 金子, 昌信

  九州大学大学院数理学研究院 : 教授

• 山本, 修司

  慶應義塾大学理工学研究科

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.

収録刊行物

• Selecta Mathematica. New series

  Selecta Mathematica. New series 24 (3), 2499-2521, 2016-08-08

  Springer

詳細情報

• CRID: 1050298532703847296
• NII論文ID: 120007189997
• NII書誌ID: AA11039717
• HANDLE: 2324/4753047
• ISSN: 10221824
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles