Indivisibility of special values of Dedekind zeta functions of real quadratic fields
Dongho Byeon (2003)
Acta Arithmetica
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Dongho Byeon (2003)
Acta Arithmetica
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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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S. Chowla (1934)
Mathematische Zeitschrift
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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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Kui Liu (2014)
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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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.
Irving Reiner, Colin J. Bushnell (1980)
Mathematische Zeitschrift
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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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V.V. Rane (1983)
Mathematische Annalen
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Makoto Ishibashi (2003)
Acta Arithmetica
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Sofo, Anthony (2004)
International Journal of Mathematics and Mathematical Sciences
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Fritz Oberhettinger, Kusum L. Soni (1972)
Mathematische Zeitschrift
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Kohji Matsumoto, Takashi Nakamura, Hiroyuki Ochiai, Hirofumi Tsumura (2008)
Acta Arithmetica
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Takuya Okamoto (2009)
Acta Arithmetica
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Hugo Chapdelaine (2009)
Acta Arithmetica
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