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On a unified double zeta function of Mordell--Tornheim type

Number Theory 2022-06-13 v2

Abstract

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

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Cite

@article{arxiv.2104.14794,
  title  = {On a unified double zeta function of Mordell--Tornheim type},
  author = {Shin-ya Kadota and Takuya Okamoto and Masataka Ono and Koji Tasaka},
  journal= {arXiv preprint arXiv:2104.14794},
  year   = {2022}
}

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13 pages