Displaying similar documents to “Multiplicative independence and bounded height”

A generalization of Dirichlet's unit theorem

Paul Fili, Zachary Miner (2014)

Acta Arithmetica

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We generalize Dirichlet's S-unit theorem from the usual group of S-units of a number field K to the infinite rank group of all algebraic numbers having nontrivial valuations only on places lying over S. Specifically, we demonstrate that the group of algebraic S-units modulo torsion is a ℚ-vector space which, when normed by the Weil height, spans a hyperplane determined by the product formula, and that the elements of this vector space which are linearly independent over ℚ retain their...

On Dirichlet type spaces on the unit ball of C n

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].

Growth of coefficients of universal Dirichlet series

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.

Higher Mahler measure of an n-variable family

Matilde N. Lalín, Jean-Sébastien Lechasseur (2016)

Acta Arithmetica

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We prove formulas for the k-higher Mahler measure of a family of rational functions with an arbitrary number of variables. Our formulas reveal relations with multiple polylogarithms evaluated at certain roots of unity.

Explicit upper bounds for |L(1,χ)| when χ(3) = 0

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.