On a unified double zeta function of Mordell–Tornheim type

S Kadota, T Okamoto, M Ono, K Tasaka - Lithuanian Mathematical Journal, 2022 - Springer
S Kadota, T Okamoto, M Ono, K Tasaka
Lithuanian Mathematical Journal, 2022Springer
On a unified double zeta function of Mordell–Tornheim type Page 1 DOI 10.1007/s10986-022-09556-x
Lithuanian Mathematical Journal, Vol. 62, No. 2, April, 2022, pp. 207–217 On a unified
double zeta function of Mordell–Tornheim type ∗ Shin-ya Kadotaa, Takuya Okamotob,
Masataka Onoc, and Koji Tasakad a Faculty of Fundamental Science, National Institute of
Technology (KOSEN), Niihama College, Niihama-city, Ehime, 792-8580, Japan b Institute of
Liberal Arts and Science, Toyohashi University of Technology, Tempaku-cho, Aichi, 441-8580 …
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.
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