Zeta-Determinant and Torsion Functions on Riemann Surfaces of Finite Volume.
Donggeng Gong (1995)
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Donggeng Gong (1995)
Manuscripta mathematica
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J.V. Armitage (1971/72)
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Don Zagier (1986)
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H. Jacquet, J.A. Shalika (1976)
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(1999)
Banach Center Publications
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S. Lang (1971)
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Shuichi Muneta (2009)
Acta Arithmetica
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Kazuhiro Onodera (2014)
Acta Arithmetica
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We generalize the partial fraction decomposition which is fundamental in the theory of multiple zeta values, and prove a relation between Tornheim's double zeta functions of three complex variables. As applications, we give new integral representations of several zeta functions, an extension of the parity result to the whole domain of convergence, concrete expressions of Tornheim's double zeta function at non-positive integers and some results on the behavior of a certain Witten's zeta...
Kui Liu (2014)
Acta Arithmetica
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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S.M. Gonek (1984)
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Jeffrey Hoffstein (1979)
Inventiones mathematicae
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