A sum formula of multiple L-values

被引：1
|
作者：
Yamamoto, Shuji [1 ]
机构：
[1] Keio Univ, Fac Sci & Technol, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2015年 / 11卷 / 01期
关键词：
Multiple zeta values; multiple L-values; multiple polylogarithms;
D O I：
10.1142/S1793042115500074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple zeta values. The proof relies on the method of partial fraction decomposition.
引用
收藏
页码：127 / 137
页数：11
相关论文
共 50 条
  • [1] Cyclic sum formula for multiple L-values
    Kawashima, Gaku
    Tanaka, Tatsushi
    Wakabayashi, Noriko
    JOURNAL OF ALGEBRA, 2011, 348 (01) : 336 - 349
  • [2] On multiple L-values
    Arakawa, T
    Kaneko, M
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2004, 56 (04) : 967 - 991
  • [3] A deformation of multiple L-values
    Kato, Masaki
    Takeyama, Yoshihiro
    RAMANUJAN JOURNAL, 2022, 57 (01): : 93 - 118
  • [4] On interpolated multiple L-values
    Ito, Shin-Ya
    Tanaka, Tatsushi
    Wakabayashi, Noriko
    ACTA ARITHMETICA, 2023, 208 (02) : 171 - 184
  • [5] A deformation of multiple L-values
    Masaki Kato
    Yoshihiro Takeyama
    The Ramanujan Journal, 2022, 57 : 93 - 118
  • [6] Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple L-values
    Nakamura, Yayoi
    Sasaki, Yoshitaka
    LITHUANIAN MATHEMATICAL JOURNAL, 2023, 63 (03) : 382 - 395
  • [7] Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple L-values
    Yayoi Nakamura
    Yoshitaka Sasaki
    Lithuanian Mathematical Journal, 2023, 63 (3) : 382 - 395
  • [8] Parabolic cohomology and multiple Hecke L-values
    YoungJu Choie
    The Ramanujan Journal, 2016, 41 : 543 - 561
  • [9] Parabolic cohomology and multiple Hecke L-values
    Choie, YoungJu
    RAMANUJAN JOURNAL, 2016, 41 (1-3): : 543 - 561
  • [10] Rooted tree maps for multiple L-values
    Tanaka, Tatsushi
    Wakabayashi, Noriko
    JOURNAL OF NUMBER THEORY, 2022, 240 : 471 - 489
12345