Weighted sum formulas for finite multiple zeta values

被引:4
|
作者
Kamano, Ken [1 ]
机构
[1] Osaka Inst Technol, Dept Robot, Kita Ku, 1-45 Chaya Machi, Osaka 5308585, Japan
关键词
Finite multiple zeta values; Sum formula; POLYLOGARITHMS;
D O I
10.1016/j.jnt.2018.04.006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a formula among finite multiple zeta values with four parameters. This formula is proved by using the iterated integral expression of the multiple polylogarithms. By specializing these parameters, we give some weighted sum formulas for finite multiple zeta values. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:168 / 180
页数:13
相关论文
共 50 条
  • [1] On Vectorized Weighted Sum Formulas of Multiple Zeta Values
    Chung, Chan-Liang
    Ong, Yao Lin
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (02): : 243 - 261
  • [2] ON GENERALIZATIONS OF WEIGHTED SUM FORMULAS OF MULTIPLE ZETA VALUES
    Ong, Yao Lin
    Eie, Minking
    Liaw, Wen-Chin
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (05) : 1185 - 1198
  • [3] Sum formula for finite multiple zeta values
    Saito, Shingo
    Wakabayashi, Noriko
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2015, 67 (03) : 1069 - 1076
  • [4] ON A GENERALISATION OF A RESTRICTED SUM FORMULA FOR MULTIPLE ZETA VALUES AND FINITE MULTIPLE ZETA VALUES
    Murahara, Hideki
    Murakami, Takuya
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (01) : 23 - 34
  • [5] RESTRICTED SUM FORMULA FOR FINITE AND SYMMETRIC MULTIPLE ZETA VALUES
    Murahara, Hideki
    Saito, Shingo
    PACIFIC JOURNAL OF MATHEMATICS, 2019, 303 (01) : 325 - 335
  • [6] Duality/sum formulas for iterated integrals and their application to multiple zeta values
    Hirose, Minoru
    Iwaki, Kohei
    Sato, Nobuo
    Tasaka, Koji
    JOURNAL OF NUMBER THEORY, 2019, 195 : 72 - 83
  • [7] Weighted sum formula for variants of half multiple zeta values
    Kawamura, Hanamichi
    Maesaka, Takumi
    Ono, Masataka
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (09) : 2329 - 2353
  • [8] On a generalization of the cyclic sum formula for finite multiple zeta and zeta-star values
    Murahara, Hideki
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2020, 31 (06): : 1144 - 1154
  • [9] Some restricted sum formulas for double zeta values
    Machide, Tomoya
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2013, 89 (03) : 51 - 54
  • [10] FINITE MULTIPLE ZETA VALUES, MULTIPLE ZETA FUNCTIONS AND MULTIPLE BERNOULLI POLYNOMIALS
    Komori, Yasushi
    KYUSHU JOURNAL OF MATHEMATICS, 2018, 72 (02) : 333 - 342