A new proof of the duality of multiple zeta values and its generalizations

Shin Ichiro Seki; Shuji Yamamoto

doi:10.1142/S1793042119500702

A new proof of the duality of multiple zeta values and its generalizations

Shin Ichiro Seki, Shuji Yamamoto

Graduate School of Science and Technology

Research output: Contribution to journal › Article

Abstract

We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.

Original language	English
Journal	International Journal of Number Theory
DOIs	https://doi.org/10.1142/S1793042119500702
Publication status	Published - 2019 Jan 1

Keywords

duality
Multiple zeta values
Ohno's relation
q -multiple zeta values
sum formula

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S1793042119500702

Fingerprint Dive into the research topics of 'A new proof of the duality of multiple zeta values and its generalizations'. Together they form a unique fingerprint.

Cite this

Seki, S. I., & Yamamoto, S. (2019). A new proof of the duality of multiple zeta values and its generalizations. International Journal of Number Theory. https://doi.org/10.1142/S1793042119500702

@article{ba992defce024ba3a1317ca28faa7e3c,

title = "A new proof of the duality of multiple zeta values and its generalizations",

abstract = "We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.",

keywords = "duality, Multiple zeta values, Ohno's relation, q -multiple zeta values, sum formula",

author = "Seki, {Shin Ichiro} and Shuji Yamamoto",

year = "2019",

month = jan,

day = "1",

doi = "10.1142/S1793042119500702",

language = "English",

journal = "International Journal of Number Theory",

issn = "1793-0421",

publisher = "World Scientific Publishing Co. Pte Ltd",

}

TY - JOUR

T1 - A new proof of the duality of multiple zeta values and its generalizations

AU - Seki, Shin Ichiro

AU - Yamamoto, Shuji

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.

AB - We give a new proof of the duality of multiple zeta values, which makes no use of the iterated integrals. The same method is also applicable to Ohno's relation for (q-)multiple zeta values.

KW - duality

KW - Multiple zeta values

KW - Ohno's relation

KW - q -multiple zeta values

KW - sum formula

UR - http://www.scopus.com/inward/record.url?scp=85061736441&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061736441&partnerID=8YFLogxK

U2 - 10.1142/S1793042119500702

DO - 10.1142/S1793042119500702

M3 - Article

AN - SCOPUS:85061736441

JO - International Journal of Number Theory

JF - International Journal of Number Theory

SN - 1793-0421

ER -