Displaying similar documents to “Regulators and total positivity.”

Some problems in number theory that arise from group theory.

Alexander Moretó (2007)

Publicacions Matemàtiques

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In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory. [Proceedings of the Primeras Jornadas de Teoría de Números (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)].