Multi-poly-Bernoulli numbers and related zeta functions

• 金子, 昌信

  九州大学大学院数理学研究院 : 教授

• 津村, 博文

  首都大学東京

抄録

We construct and study a certain zeta function which interpolates multi-poly-Bernoulli numbers at nonpositive integers and whose values at positive integers are linear combinations of multiple zeta values. This function can be regarded as the one to be paired up with the ξ-function defined by Arakawa and Kaneko. We show that both are closely related to the multiple zeta functions. Further we define multi-indexed poly-Bernoulli numbers, and generalize the duality formulas for poly-Bernoulli numbers by introducing more general zeta functions.

収録刊行物

• Nagoya Mathematical Journal

  Nagoya Mathematical Journal 232 19-54, 2017-05-08

  Mathematical Institute, Faculty of Science Nagoya University

詳細情報

• CRID: 1050298532703845888
• NII論文ID: 120007189996
• NII書誌ID: AA00750899
• HANDLE: 2324/4753048
• ISSN: 00277630
• 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