On higher-power moments of E(t)
Wenguang Zhai (2004)
Acta Arithmetica
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Wenguang Zhai (2004)
Acta Arithmetica
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Wenguang Zhai (2005)
Acta Arithmetica
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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...
Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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Kui Liu (2014)
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.
Antanas Laurinčikas, Kohji Matsumoto (2001)
Acta Arithmetica
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Yoshitaka Sasaki (2009)
Acta Arithmetica
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Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
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Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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Yoichi Motohashi (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Masanori Katsurada (2001)
Acta Arithmetica
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Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
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Takuya Okamoto (2009)
Acta Arithmetica
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Johan Andersson (1992)
Mathematica Scandinavica
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Dinesh S. Thakur (1995)
Compositio Mathematica
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