Laurent coefficients of the zeta function of an indefinite quadratic form
Makoto Ishibashi (2003)
Acta Arithmetica
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Makoto Ishibashi (2003)
Acta Arithmetica
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David J. Wright (1988/89)
Mathematische Zeitschrift
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Jürgen G. Hinz (1979)
Monatshefte für Mathematik
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Sofo, Anthony (2004)
International Journal of Mathematics and Mathematical Sciences
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M.E. Low (1968)
Acta Arithmetica
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Y. MOTOHASHI (1970)
Mathematische Annalen
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S.M. Gonek, J.B. Conrey, A. Ghosh (1986)
Inventiones mathematicae
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Akihiko Yukie (1992)
Mathematische Annalen
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John B. Friedlander (1978)
Mathematica Scandinavica
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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
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...
Shuichi Muneta (2009)
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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John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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Kui Liu (2014)
Acta Arithmetica
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J. Elstrodt, F. Grunewald (1985)
Journal für die reine und angewandte Mathematik
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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.