On a generalization of the cyclic sum formula for finite multiple zeta and zeta-star values

被引:0
|
作者
Murahara, Hideki [1 ]
机构
[1] Nakamura Gakuen Univ, Grad Sch, Jonan Ku, 5-7-1 Befu, Fukuoka 8140198, Japan
来源
INDAGATIONES MATHEMATICAE-NEW SERIES | 2020年 / 31卷 / 06期
关键词
Multiple zeta values; Finite multiple zeta values; Cyclic sum formula; Cyclic relation;
D O I
10.1016/j.indag.2020.10.001
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The cyclic sum formulas for multiple zeta and zeta-star values were respectively proved by Hoffman and Ohno, and Ohno and Wakabayashi. Kawasaki and Oyama obtained analogous formulas for finite multiple zeta and zeta-star values. In this paper, we give a generalization of Kawasaki and Oyama's results. (C) 2020 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:1144 / 1154
页数:11
相关论文
共 50 条
  • [21] OHNO-TYPE RELATIONS FOR CLASSICAL AND FINITE MULTIPLE ZETA-STAR VALUES
    Hirose, Minoru
    Imatomi, Kohtaro
    Murahara, Hideki
    Saito, Shingo
    KYUSHU JOURNAL OF MATHEMATICS, 2021, 75 (01) : 115 - 124
  • [22] Cyclic sum of multiple zeta values
    Ohno, Yasuo
    Wakabayashi, Noriko
    ACTA ARITHMETICA, 2006, 123 (03) : 289 - 295
  • [23] RESTRICTED SUM FORMULA OF MULTIPLE ZETA VALUES
    Yuan, Haiping
    Zhao, Jianqiang
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2014, 51 (01) : 111 - 119
  • [24] The Bowman-Bradley theorem for multiple zeta-star values
    Kondo, Hiroki
    Saito, Shingo
    Tanaka, Tatsushi
    JOURNAL OF NUMBER THEORY, 2012, 132 (09) : 1984 - 2002
  • [25] Weighted sum formula for multiple zeta values
    Guo, Li
    Xie, Bingyong
    JOURNAL OF NUMBER THEORY, 2009, 129 (11) : 2747 - 2765
  • [26] GENERATING FUNCTIONS FOR OHNO TYPE SUMS OF FINITE AND SYMMETRIC MULTIPLE ZETA-STAR VALUES
    Hirose, Minoru
    Murahara, Hideki
    Saito, Shingo
    ASIAN JOURNAL OF MATHEMATICS, 2021, 25 (06) : 871 - 882
  • [27] EXPLICIT EVALUATION OF CERTAIN SUMS OF MULTIPLE ZETA-STAR VALUES
    Yamamoto, Shuji
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2013, 49 (02) : 283 - 289
  • [28] A generalization of the duality and sum formulas on the multiple zeta values
    Ohno, Y
    JOURNAL OF NUMBER THEORY, 1999, 74 (01) : 39 - 43
  • [29] Sum formula of multiple Hurwitz-zeta values
    Zhao, Jianqiang
    FORUM MATHEMATICUM, 2015, 27 (02) : 929 - 936
  • [30] On the sum formula for multiple q-zeta values
    Bradley, David M.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2007, 37 (05) : 1427 - 1434