Sum formula for finite multiple zeta values

Shingo Saito; Noriko Wakabayashi

doi:10.2969/jmsj/06731069

Sum formula for finite multiple zeta values

Shingo Saito, Noriko Wakabayashi

Division for Theoretical Natural Science

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

The sum formula is one of the most well-known relations among multiple zeta values. This paper proves a conjecture of Kaneko predicting that an analogous formula holds for finite multiple zeta values.

Original language	English
Pages (from-to)	1069-1076
Number of pages	8
Journal	Journal of the Mathematical Society of Japan
Volume	67
Issue number	3
DOIs	https://doi.org/10.2969/jmsj/06731069
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.2969/jmsj/06731069

Cite this

@article{ac3a0036a14d4c07890d352b1e393cff,

title = "Sum formula for finite multiple zeta values",

abstract = "The sum formula is one of the most well-known relations among multiple zeta values. This paper proves a conjecture of Kaneko predicting that an analogous formula holds for finite multiple zeta values.",

author = "Shingo Saito and Noriko Wakabayashi",

note = "Publisher Copyright: {\textcopyright} 2015 The Mathematical Society of Japan.",

year = "2015",

doi = "10.2969/jmsj/06731069",

language = "English",

volume = "67",

pages = "1069--1076",

journal = "Journal of the Mathematical Society of Japan",

issn = "0025-5645",

publisher = "The Mathematical Society of Japan",

number = "3",

}

TY - JOUR

T1 - Sum formula for finite multiple zeta values

AU - Saito, Shingo

AU - Wakabayashi, Noriko

PY - 2015

Y1 - 2015

N2 - The sum formula is one of the most well-known relations among multiple zeta values. This paper proves a conjecture of Kaneko predicting that an analogous formula holds for finite multiple zeta values.

AB - The sum formula is one of the most well-known relations among multiple zeta values. This paper proves a conjecture of Kaneko predicting that an analogous formula holds for finite multiple zeta values.

UR - http://www.scopus.com/inward/record.url?scp=84940416918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84940416918&partnerID=8YFLogxK

U2 - 10.2969/jmsj/06731069

DO - 10.2969/jmsj/06731069

M3 - Article

AN - SCOPUS:84940416918

VL - 67

SP - 1069

EP - 1076

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

SN - 0025-5645

IS - 3

ER -

Sum formula for finite multiple zeta values

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this