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
来源：
JOURNAL OF NUMBER THEORY | 2018年 / 192卷
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
  • [31] SOME VARIATIONS OF MULTIPLE ZETA VALUES
    Chung, Chan-Liang
    Eie, Minking
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (07) : 2107 - 2131
  • [32] ON MULTIPLE ZETA VALUES OF LEVEL TWO
    Kaneko, Masanobu
    Tsumura, Hirofumi
    TSUKUBA JOURNAL OF MATHEMATICS, 2020, 44 (02) : 213 - 234
  • [33] 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
  • [34] A Generating Function to Generalize the Sum Formula for Quadruple Zeta Values
    Machide, Tomoya
    TOKYO JOURNAL OF MATHEMATICS, 2019, 42 (02) : 329 - 355
  • [35] Central binomial sums, multiple Clausen values, and zeta values
    Borwein, JM
    Broadhurst, DJ
    Kamnitzer, J
    EXPERIMENTAL MATHEMATICS, 2001, 10 (01) : 25 - 34
  • [36] Motivic multiple zeta values and the block filtration
    Keilthy, Adam
    JOURNAL OF NUMBER THEORY, 2022, 238 : 883 - 919
  • [37] ON FUNCTIONS OF ARAKAWA AND KANEKO AND MULTIPLE ZETA VALUES
    Kuba, Markus
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2010, 4 (01) : 45 - 53
  • [38] Algebra structure of multiple zeta values in positive characteristic
    Chang, Chieh-Yu
    Chen, Yen-Tsung
    Mishiba, Yoshinori
    CAMBRIDGE JOURNAL OF MATHEMATICS, 2022, 10 (04) : 743 - 783
  • [39] Iterated integrals, multiple zeta values and Selberg integrals
    Li, Jiangtao
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023, 19 (08) : 1881 - 1896
  • [40] GENERATING FUNCTIONS FOR SUMS OF POLYNOMIAL MULTIPLE ZETA VALUES
    Hirose, Minoru
    Murahara, Hideki
    Saito, Shingo
    TOHOKU MATHEMATICAL JOURNAL, 2022, 74 (03) : 399 - 428
12345