On some conjectures and results for the Riemann zeta-function and Hecke series
Aleksandar Ivić (2001)
Acta Arithmetica
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Aleksandar Ivić (2001)
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...
Kim, T., Jang, L.C., Rim, S.H. (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
Kui Liu (2014)
Acta Arithmetica
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Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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Martin, Roland (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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Yoichi Motohashi (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Yoshitaka Sasaki (2009)
Acta Arithmetica
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Takashi Nakamura (2006)
Acta Arithmetica
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Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
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Mariusz Wodzicki (1982)
Inventiones mathematicae
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Bradley, David M. (2005)
International Journal of Mathematics and Mathematical Sciences
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