Sum relations for multiple zeta values and connection formulas for the gauss hypergeometric functions

Takashi Aoki; Yasuo Ohno

doi:10.2977/prims/1145475357

Sum relations for multiple zeta values and connection formulas for the gauss hypergeometric functions

Takashi Aoki, Yasuo Ohno

SCI - Mathematics

Kindai University

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

25 Citations (Scopus)

Abstract

We give an explicit representation for the sums of multiple zeta-star values of fixed weight and height in terms of Riemann zeta values.

Original language	English
Pages (from-to)	329-337
Number of pages	9
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	41
Issue number	2
DOIs	https://doi.org/10.2977/prims/1145475357
Publication status	Published - 2005 Jul

Access to Document

10.2977/prims/1145475357

Cite this

@article{7d5b54f79a8b4d5db9625764221d1b24,

title = "Sum relations for multiple zeta values and connection formulas for the gauss hypergeometric functions",

abstract = "We give an explicit representation for the sums of multiple zeta-star values of fixed weight and height in terms of Riemann zeta values.",

author = "Takashi Aoki and Yasuo Ohno",

year = "2005",

month = jul,

doi = "10.2977/prims/1145475357",

language = "English",

volume = "41",

pages = "329--337",

journal = "Publications of the Research Institute for Mathematical Sciences",

issn = "0034-5318",

publisher = "European Mathematical Society Publishing House",

number = "2",

}

TY - JOUR

T1 - Sum relations for multiple zeta values and connection formulas for the gauss hypergeometric functions

AU - Aoki, Takashi

AU - Ohno, Yasuo

PY - 2005/7

Y1 - 2005/7

N2 - We give an explicit representation for the sums of multiple zeta-star values of fixed weight and height in terms of Riemann zeta values.

AB - We give an explicit representation for the sums of multiple zeta-star values of fixed weight and height in terms of Riemann zeta values.

UR - http://www.scopus.com/inward/record.url?scp=24944457627&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24944457627&partnerID=8YFLogxK

U2 - 10.2977/prims/1145475357

DO - 10.2977/prims/1145475357

M3 - Article

AN - SCOPUS:24944457627

SN - 0034-5318

VL - 41

SP - 329

EP - 337

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

IS - 2

ER -

Sum relations for multiple zeta values and connection formulas for the gauss hypergeometric functions

Abstract

Access to Document

Other files and links

Fingerprint

Cite this