On an asymptotic formula of Ramanujan for a certain theta-type series
Masanori Katsurada (2001)
Acta Arithmetica
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Masanori Katsurada (2001)
Acta Arithmetica
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Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
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Masanori Katsurada (1997)
Publications de l'Institut Mathématique
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Norman Levinson (1972)
Acta Arithmetica
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A. Laurinčikas (1990)
Acta Arithmetica
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M. Katsurada, K. Matsumoto (1996)
Mathematica Scandinavica
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Aleksandar Ivić (1995)
Publications de l'Institut Mathématique
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Jeffrey C. Lagarias (2005)
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...
Aleksandar Ivić (1989)
Publications de l'Institut Mathématique
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Kazufumi Kimoto, Nobushige Kurokawa, Sho Matsumoto, Masato Wakayama (2005)
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.
Shuichi Muneta (2009)
Acta Arithmetica
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Antanas Laurinčikas (2006)
Acta Arithmetica
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