On Karatsuba Conjecture and the Lindelöf Hypothesis
Shao-Ji Feng (2004)
Acta Arithmetica
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Shao-Ji Feng (2004)
Acta Arithmetica
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Huizeng Qin, Ovidiu Furdui (2015)
Open Mathematics
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In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
I.G. Macdonald (1980)
Mathematische Annalen
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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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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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du Sautoy, Marcus (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Shuichi Muneta (2009)
Acta Arithmetica
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Irving Reiner, Colin J. Bushnell (1980)
Mathematische Zeitschrift
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Tsz Ho Chan (2004)
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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Takuya Okamoto (2009)
Acta Arithmetica
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Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
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Bradley, David M. (2005)
International Journal of Mathematics and Mathematical Sciences
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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.
Peter A. Perry (1990)
Journal für die reine und angewandte Mathematik
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Takashi Nakamura (2006)
Acta Arithmetica
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