On a unified double zeta function of Mordell–Tornheim type*

Shin ya Kadota; Takuya Okamoto; Masataka Ono; Koji Tasaka

doi:10.1007/s10986-022-09556-x

On a unified double zeta function of Mordell–Tornheim type*

Shin ya Kadota^*, Takuya Okamoto, Masataka Ono, Koji Tasaka

^*Corresponding author for this work

Global Education Center

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

Abstract

We introduce a double zeta function of Mordell–Tornheim type and compute its values at nonpositive integer points. We then discuss a possible generalization of the Kaneko–Zagier conjecture for all integer points.

Original language	English
Journal	Lithuanian Mathematical Journal
DOIs	https://doi.org/10.1007/s10986-022-09556-x
Publication status	Accepted/In press - 2022

Keywords

double zeta functions of Mordell–Tornheim type
finite multiple zeta values
multiple zeta functions
multiple zeta values
unified multiple zeta values

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s10986-022-09556-x

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title = "On a unified double zeta function of Mordell–Tornheim type*",

abstract = "We introduce a double zeta function of Mordell–Tornheim type and compute its values at nonpositive integer points. We then discuss a possible generalization of the Kaneko–Zagier conjecture for all integer points.",

keywords = "double zeta functions of Mordell–Tornheim type, finite multiple zeta values, multiple zeta functions, multiple zeta values, unified multiple zeta values",

author = "Kadota, {Shin ya} and Takuya Okamoto and Masataka Ono and Koji Tasaka",

note = "Funding Information: *This work is partially supported by JSPS KAKENHI grant Nos. JP16H06336 and 20K14294. Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Kadota, Shin ya

AU - Okamoto, Takuya

AU - Ono, Masataka

AU - Tasaka, Koji

N1 - Funding Information: *This work is partially supported by JSPS KAKENHI grant Nos. JP16H06336 and 20K14294. Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2022

Y1 - 2022

N2 - We introduce a double zeta function of Mordell–Tornheim type and compute its values at nonpositive integer points. We then discuss a possible generalization of the Kaneko–Zagier conjecture for all integer points.

AB - We introduce a double zeta function of Mordell–Tornheim type and compute its values at nonpositive integer points. We then discuss a possible generalization of the Kaneko–Zagier conjecture for all integer points.

KW - double zeta functions of Mordell–Tornheim type

KW - finite multiple zeta values

KW - multiple zeta functions

KW - multiple zeta values

KW - unified multiple zeta values

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SN - 0363-1672

ER -

On a unified double zeta function of Mordell–Tornheim type*

Abstract

Keywords

ASJC Scopus subject areas

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