A Non-Vanishing Theorem for Zeta Functions of GLn
H. Jacquet, J.A. Shalika (1976)
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H. Jacquet, J.A. Shalika (1976)
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J.V. Armitage (1971/72)
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Willem Veys (1993)
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Martin, Roland (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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W.L. Hill (1971)
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Willem Veys (1995)
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Shuichi Muneta (2009)
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S. Lang (1971)
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John M. Franks (1975)
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Kazuhiro Onodera (2014)
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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...
Jeffrey Hoffstein (1979)
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D. Meuser (1986)
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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.