A NOTE ON FINITE REAL MULTIPLE ZETA VALUES

被引：14
|
作者：
Murahara, Hideki [1 ]
机构：
[1] Kyushu Univ, Grad Sch Math, 744 Motooka, Fukuoka, Fukuoka 8190395, Japan
来源：
KYUSHU JOURNAL OF MATHEMATICS | 2016年 / 70卷 / 01期
关键词：
finite real multiple zeta values; HARMONIC SERIES; DUALITY;
D O I：
10.2206/kyushujm.70.197
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove three theorems on finite real multiple zeta values: the symmetric formula, the sum formula and the height-one duality theorem. These are analogues of their counterparts on finite multiple zeta values.
引用
收藏
页码：197 / 204
页数：8
相关论文
共 46 条
  • [11] WEIGHTED SUMS WITH TWO PARAMETERS OF MULTIPLE ZETA VALUES AND THEIR FORMULAS
    Machide, Tomoya
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (08) : 1903 - 1921
  • [12] On the duality and the derivation relations for multiple zeta values
    Kawasaki, Naho
    Tanaka, Tatsushi
    RAMANUJAN JOURNAL, 2018, 47 (03) : 651 - 658
  • [13] Duality and (q-)multiple zeta values
    Ebrahimi-Fard, Kurusch
    Manchon, Dominique
    Singer, Johannes
    ADVANCES IN MATHEMATICS, 2016, 298 : 254 - 285
  • [14] Ohno relation for regularized multiple zeta values
    Hirose, Minoru
    Murahara, Hideki
    Saito, Shingo
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2023, 75 (04) : 1177 - 1193
  • [15] A restricted sum formula among multiple zeta values
    Eie, Minking
    Liaw, Wen-Chin
    Ong, Yao Lin
    JOURNAL OF NUMBER THEORY, 2009, 129 (04) : 908 - 921
  • [16] Intersection of duality and derivation relations for multiple zeta values
    Kimura, Aiki
    JOURNAL OF ALGEBRA, 2024, 646 : 412 - 432
  • [17] Duality and double shuffle relations of multiple zeta values
    Kajikawa, Jun
    JOURNAL OF NUMBER THEORY, 2006, 121 (01) : 1 - 6
  • [18] 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
  • [19] A new proof of the duality of multiple zeta values and its generalizations
    Seki, Shin-ichiro
    Yamamoto, Shuji
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (06) : 1261 - 1265
  • [20] Quadratic relations for a q-analogue of multiple zeta values
    Takeyama, Yoshihiro
    RAMANUJAN JOURNAL, 2012, 27 (01) : 15 - 28
12345