On the functional equation of the secondary zeta-functions.
I.C. Chakravartty (1976)
Aequationes mathematicae
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I.C. Chakravartty (1976)
Aequationes mathematicae
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Steven B. Bank, Robert P. Kaufman (1977)
Aequationes mathematicae
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Karl Dilcher (1993)
Aequationes mathematicae
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Karl Dilcher (1994)
Aequationes mathematicae
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Takashi Nakamura (2006)
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...
Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
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I.C. Chakravartty (1975)
Aequationes mathematicae
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Shuichi Muneta (2009)
Acta Arithmetica
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Hirotaka Akatsuka (2006)
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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.
Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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Kui Liu (2014)
Acta Arithmetica
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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