On a unified double zeta function of Mordell–Tornheim type

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.

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Bibliographic Details
Published inLithuanian mathematical journal Vol. 62; no. 2; pp. 207 - 217
Main Authors Kadota, Shin-ya, Okamoto, Takuya, Ono, Masataka, Tasaka, Koji
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2022
Springer Nature B.V
Subjects
Actuarial Sciences
Integers
Mathematics
Mathematics and Statistics
Number Theory
Ordinary Differential Equations
Probability Theory and Stochastic Processes
multiple zeta functions
double zeta functions of Mordell–Tornheim type
unified multiple zeta values
11M32
multiple zeta values
finite multiple zeta values
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Summary: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.
ISSN:0363-1672
1573-8825
DOI:10.1007/s10986-022-09556-x