Abstract
A surface integral representation of the Mordell-Tornheim double zeta function is given, which is a direct analogue of a well-known integral representation of the Riemann zeta function of Hankel’s type. As an application, we investigate its values and residues at integers, where generalizations of a generating function of Bernoulli numbers naturally appear.
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Komori, Y. An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers. Ramanujan J 17, 163–183 (2008). https://doi.org/10.1007/s11139-008-9130-4
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DOI: https://doi.org/10.1007/s11139-008-9130-4