Displaying similar documents to “A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).”

Some problems in number theory that arise from group theory.

Alexander Moretó (2007)

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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)].

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)

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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)

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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)]. ...

Thetanullwerte: from periods to good equations.

Jordi Guàrdia (2007)

Publicacions Matemàtiques

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We will show the utility of the classical Jacobi Thetanullwerte for the description of certain period lattices of elliptic curves, providing equations with good arithmetical properties. These equations will be the starting point for the construction of families of elliptic curves with everywhere good reduction. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)]. ...

q-plurisubharmonicity and q-pseudoconvexity in C.

Nguyen Quang Dieu (2006)

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We generalize classical results for plurisubharmonic functions and hyperconvex domain to q-plurisubharmonic functions and q-hyperconvex domains. We show, among other things, that B-regular domains are q-hyperconvex. Moreover, some smoothing results for q-plurisubharmonic functions are also given.

The integer Chebyshev constant of Farey intervals.

Julián Aguirre, Juan Carlos Peral (2007)

Publicacions Matemàtiques

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We obtain new bounds for the integer Chebyshev constant of intervals [p/q, r/s] where p, q, r and s are non-negative integers such that qr - ps = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].

A Schwarz lemma for correspondences and applications.

Kaushal Verma (2003)

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A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.