A -analog of Euler's decomposition formula for the double zeta function.
Bradley, David M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Bradley, David M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Yao Lin Ong, Minking Eie, Chuan-Sheng Wei (2010)
Acta Arithmetica
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Bao Qin Li, Zhuan Ye (2008)
Acta Arithmetica
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Takashi Nakamura (2006)
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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Boyadzhiev, Khristo N. (2002)
International Journal of Mathematics and Mathematical Sciences
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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...
Shuichi Muneta (2009)
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.
Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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Kui Liu (2014)
Acta Arithmetica
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Yoshitaka Sasaki (2009)
Acta Arithmetica
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Hirofumi Tsumura (2004)
Acta Arithmetica
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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Kazufumi Kimoto, Nobushige Kurokawa, Sho Matsumoto, Masato Wakayama (2005)
Acta Arithmetica
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Gušić, Dženan (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: MSC2010: 11F72, 11M36, 58J37 We point out the importance of the integral representations of the logarithmic derivative of the Selberg zeta function valid up to the critical line, i.e. in the region that includes the right half of the critical strip, where the Euler product definition of the Selberg zeta function does not hold. Most recent applications to the behavior of the Selberg zeta functions associated to a degenerating sequence of finite volume,...
Takuya Okamoto (2009)
Acta Arithmetica
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Masanori Katsurada (2001)
Acta Arithmetica
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