Thomas’ conjecture over function fields

Volker Ziegler

Displaying similar documents to “Thomas’ conjecture over function fields”

A note on the limit points associated withthe generalized abc-conjecture for ℤ[t]

Daniel Davies (1996)

Colloquium Mathematicae

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Approximation exponents for algebraic functions in positive characteristic

Bernard de Mathan (1992)

Acta Arithmetica

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In this paper, we study rational approximations for algebraic functions in characteristic p > 0. We obtain results for elements satisfying an equation of the type $α = (A α^{q} + B) / (C α^{q} + D)$ , where q is a power of p.

Weierstrass multiplicative points on a compact Riemann surface.

Chueshev, V.V., Yakubov, È.Kh. (2002)

Sibirskij Matematicheskij Zhurnal

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The growth of regular functions on algebraic sets

A. Strzeboński (1991)

Annales Polonici Mathematici

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We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of $ℂ^{n}$ . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.

On semi-strong U-numbers

K. Alniaçik (1992)

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The fluctuations in the number of points on a family of curves over a finite field

Maosheng Xiong (2010)

Journal de Théorie des Nombres de Bordeaux

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Let $l \geq 2$ be a positive integer, $𝔽_{q}$ a finite field of cardinality $q$ with $q \equiv 1 (mod l)$ . In this paper, inspired by [, , ] and using a slightly different method, we study the fluctuations in the number of $𝔽_{q}$ -points on the curve $ℂ_{F}$ given by the affine model $ℂ_{F} : Y^{l} = F (X)$ , where $F$ is drawn at random uniformly from the set of all monic $l$ -th power-free polynomials $F \in 𝔽_{q} [X]$ of degree $d$ as $d \to \infty$ . The method also enables us to study the fluctuations in the number of $𝔽_{q}$ -points on the same family of curves arising from the set of monic...

Centers in domains with quadratic growth

Agata Smoktunowicz (2005)

Open Mathematics

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Let F be a field, and let R be a finitely-generated F-algebra, which is a domain with quadratic growth. It is shown that either the center of R is a finitely-generated F-algebra or R satisfies a polynomial identity (is PI) or else R is algebraic over F. Let r ∈ R be not algebraic over F and let C be the centralizer of r. It is shown that either the quotient ring of C is a finitely-generated division algebra of Gelfand-Kirillov dimension 1 or R is PI.

Existence problems for $ω$ -closed orbits.

Avramescu, Cezar (2002)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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The coincidence Nielsen number for maps into real projective spaces

Jerzy Jezierski (1992)

Fundamenta Mathematicae

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We give an algorithm to compute the coincidence Nielsen number N(f,g), introduced in [DJ], for pairs of maps into real projective spaces.