Multiplicative independence and bounded height
John Garza (2012)
Acta Arithmetica
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John Garza (2012)
Acta Arithmetica
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A. Mallik (1981)
Acta Arithmetica
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Frédéric Bayart (2004)
Acta Arithmetica
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H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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Małgorzata Michalska (2011)
Annales UMCS, Mathematica
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In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].
Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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A. Mouze (2007)
Annales Polonici Mathematici
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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
Aleksandar Ivić (1993)
Publications de l'Institut Mathématique
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Mitsuru Nakai, Leo Sario (1971)
Mathematische Zeitschrift
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Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
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Hideaki Ishikawa (2001)
Acta Arithmetica
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David J. Platt, Sumaia Saad Eddin (2013)
Colloquium Mathematicae
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Let χ be a primitive Dirichlet character of conductor q and denote by L(z,χ) the associated L-series. We provide an explicit upper bound for |L(1,χ)| when 3 divides q.
Merel, Loïc (1998)
Documenta Mathematica
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Jan Bęczek (1988)
Annales Polonici Mathematici
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W. Kleiner (1966)
Colloquium Mathematicae
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Demanze, O., Mouze, A. (2006)
International Journal of Mathematics and Mathematical Sciences
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Hochmuth, Reinhard (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Frédéric Bayart (2005)
Studia Mathematica
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We give general theorems which assert that divergence and universality of certain limiting processes are generic properties. We also define the notion of algebraic genericity, and prove that these properties are algebraically generic as well. We show that universality can occur with Dirichlet series. Finally, we give a criterion for the set of common hypercyclic vectors of a family of operators to be algebraically generic.