Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields
Sanoli Gun, M. Ram Murty, Purusottam Rath (2012)
Acta Arithmetica
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Displaying similar documents to “Solomon's Zeta Functions over Algebraic Function Fields.”
Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields
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Daqing Wan (1992)
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A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter.
Laurinčikas, A. (2005)
Journal of Mathematical Sciences (New York)
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Algebraic setup of non-strict multiple zeta values
Shuichi Muneta (2009)
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S. Lang (1971)
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Sofiène Bessassi (2003)
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W.A. Zúniga Galindo (1997)
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Functional equation for partial zeta functions twisted by additive characters
Hugo Chapdelaine (2009)
Acta Arithmetica
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Functional equations for zeta functions of non-Gorenstein orders in global fields.
Barry Green (1989)
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Dongho Byeon (2001)
Acta Arithmetica
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A factorization of the Selberg zeta function attached to a rank 1 space form.
Floyd L. Williams (1992)
Manuscripta mathematica
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Selberg Zeta function on an exceptional domain.
Henry H. Kim (1994)
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A functional relation for Tornheim's double zeta functions
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...
The multiplicative and functional independence of Dedekind zeta functions of abelian fields
Roman Marszałek (2005)
Colloquium Mathematicae
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It is shown that the multiplicative independence of Dedekind zeta functions of abelian fields is equivalent to their functional independence. We also give all the possible multiplicative dependence relations for any set of Dedekind zeta functions of abelian fields.
On the mean value of a kind of zeta functions
Kui Liu (2014)
Acta Arithmetica
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Universality results on Hurwitz zeta-functions
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.
Digit derivatives and application to zeta measures
Sangtae Jeong (2004)
Acta Arithmetica
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A Reduced Zeta Function for Diffeomorphisms
John M. Franks (1975)
Publications mathématiques et informatique de Rennes
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On multiple Hurwitz zeta-function values at rational arguments
S. Kanemitsu, Y. Tanigawa, M. Yoshimoto (2003)
Acta Arithmetica
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