Shifted quadratic zeta series.
Sofo, Anthony (2004)
International Journal of Mathematics and Mathematical Sciences
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Sofo, Anthony (2004)
International Journal of Mathematics and Mathematical Sciences
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Akihiko Yukie (1992)
Mathematische Annalen
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Jürgen G. Hinz (1979)
Monatshefte für Mathematik
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Dongho Byeon (2003)
Acta Arithmetica
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S.M. Gonek, J.B. Conrey, A. Ghosh (1986)
Inventiones mathematicae
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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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Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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Antanas Laurinčikas, Renata Macaitienė (2016)
Banach Center Publications
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In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.
M.E. Low (1968)
Acta Arithmetica
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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International Journal of Mathematics and Mathematical Sciences
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Acta Arithmetica
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Y. MOTOHASHI (1970)
Mathematische Annalen
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Yoshitaka Sasaki (2009)
Acta Arithmetica
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David J. Wright (1988/89)
Mathematische Zeitschrift
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