Zeta Functions with a Zero at s = ... .
J.V. Armitage (1971/72)
Inventiones mathematicae
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J.V. Armitage (1971/72)
Inventiones mathematicae
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H. Jacquet, J.A. Shalika (1976)
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Yoshitaka Sasaki (2009)
Acta Arithmetica
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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.
S.M. Gonek, J.B. Conrey, A. Ghosh (1986)
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S. Lang (1971)
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Shigeki Akiyama, Shigeki Egami, Yoshio Tanigawa (2001)
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Eduardo Friedman (1989)
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Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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Shuichi Muneta (2009)
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Kui Liu (2014)
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...
Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
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D. Meuser (1983)
Inventiones mathematicae
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