Mean Value Properties of the Hurwitz Zeta-Function.
Johan Andersson (1992)
Mathematica Scandinavica
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Johan Andersson (1992)
Mathematica Scandinavica
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Masanori Katsurada (2003)
Acta Arithmetica
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Masanori Katsurada (2001)
Acta Arithmetica
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A. Ivić (1977)
Matematički Vesnik
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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...
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.
Kui Liu (2014)
Acta Arithmetica
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Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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Shuichi Muneta (2009)
Acta Arithmetica
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Masanori Katsurada (1997)
Publications de l'Institut Mathématique
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Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
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Norman Levinson (1972)
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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A. Laurinčikas (1990)
Acta Arithmetica
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