Zeta functions and the equivalence of integral forms.
R. Perlis, A. Schinzel (1979)
Journal für die reine und angewandte Mathematik
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R. Perlis, A. Schinzel (1979)
Journal für die reine und angewandte Mathematik
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Akihiko Yukie (1992)
Mathematische Annalen
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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...
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.
Audrey Terras (1976-1977)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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Laurinčikas, A. (2005)
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Kui Liu (2014)
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Henryk IWANIEC (1979-1980)
Seminaire de Théorie des Nombres de Bordeaux
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David J. Wright (1985)
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John M. Franks (1975)
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Yoshitaka Sasaki (2009)
Acta Arithmetica
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