Some problems in number theory that arise from group theory.

Alexander Moretó

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Displaying similar documents to “Some problems in number theory that arise from group theory.”

Regulators and total positivity.

Eduardo Friedman (2007)

Publicacions Matemàtiques

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[Proceedings of the (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].

An overlapping theorem with applications.

Javier Cilleruelo, Gérald Tenenbaum (2007)

Publicacions Matemàtiques

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We establish a general and optimal lower bound for the complete sum of the probabilities of k-intersections of n events. We then describe various applications to additive and multiplicative number theory, graph theory, coding theory, study of lattice points on circles, and divisors of polynomials. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].

Counting colorings on varieties.

Fernando Rodríguez-Villegas (2007)

Publicacions Matemàtiques

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We present a combinatorial mechanism for counting certain objects associated to a variety over a finite field. The basic example is that of counting conjugacy classes of the general linear group. We discuss how the method applies to counting these and also to counting unipotent matrices and pairs of commuting matrices. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)]. ...

A note on 2-dimensional arithmetic symbols on Gl(n, Σ).

Fernando Pablos Romo (2007)

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The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, Σ_S) do not allow us to define new 2-dimensional symbols on S. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova...