Determination of the poles of the topological zeta function for curves.
Willem Veys (1995)
Manuscripta mathematica
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Willem Veys (1995)
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John Knopfmacher (1985)
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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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Guangshi Lü, Jie Wu, Wenguang Zhai (2012)
Acta Arithmetica
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D. Meuser (1983)
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Shuichi Muneta (2009)
Acta Arithmetica
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Daqing Wan (1992)
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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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Henry H. Kim (1994)
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Floyd L. Williams (1992)
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
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S. Lang (1971)
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Barry Green (1989)
Manuscripta mathematica
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