TY - JOUR
T1 - Functional equation for the mordell-tornheim multiple zeta-function
AU - Okamoto, Takuya
AU - Onozuka, Tomokazu
N1 - Funding Information:
The first named author is supported by JSPS KAKENHI Grant Number 15K17517. second named author is supported by JSPS KAKENHI Grant Number 13J00312. 2010 Mathematics Subject Classification: primary: 11M32; secondary: 11M06
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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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U2 - 10.7169/facm/2016.55.2.6
DO - 10.7169/facm/2016.55.2.6
M3 - Article
AN - SCOPUS:85028021419
SN - 0208-6573
VL - 55
SP - 227
EP - 241
JO - Functiones et Approximatio, Commentarii Mathematici
JF - Functiones et Approximatio, Commentarii Mathematici
IS - 2
ER -