Zeta Functions and Composition Factors for Arithmetic Orders.
Irving Reiner, Colin J. Bushnell (1987)
Mathematische Zeitschrift
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Irving Reiner, Colin J. Bushnell (1987)
Mathematische Zeitschrift
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Irving Reiner, Colin J. Bushnell (1980)
Mathematische Zeitschrift
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Marius Somodi (2002)
Acta Arithmetica
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Irving Reiner, C.J. Bushnell (1984)
Journal für die reine und angewandte Mathematik
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Titus Hilberdink (2009)
Acta Arithmetica
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Koji Katayama (1976)
Journal für die reine und angewandte Mathematik
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Koji Katayama (1974)
Journal für die reine und angewandte Mathematik
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Kui Liu (2014)
Acta Arithmetica
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Andrew Bridy (2012)
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.
David J. Wright (1988/89)
Mathematische Zeitschrift
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Shuichi Muneta (2009)
Acta Arithmetica
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Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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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...