Functional equation for the Mordell-Tornheim multiple zeta-function

Other literature type French OPEN
Okamoto, Takuya ; Onozuka, Tomokazu (2016)
  • Publisher: Adam Mickiewicz University, Faculty of Mathematics and Computer Science
  • Journal: (issn: 0208-6573)
  • Related identifiers: doi: 10.7169/facm/2016.55.2.6
  • Subject: Mordell-Tornheim multiple zeta-function | functional equation | 11M32 | confluent hypergeometric function | 11M06
    arxiv: Mathematics::Number Theory

We show a relation between the Mordell-Tornheim multiple zeta-function and the confluent hypergeometric function, and using it, we give the functional equation for the Mordell-Tornheim multiple zeta-function. In the double case, the functional equation includes the known functional equation for the Euler-Zagier double zeta-function.
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