Displaying similar documents to “The integer Chebyshev constant of Farey intervals.”

Some problems in number theory that arise from group theory.

Alexander Moretó (2007)

Publicacions Matemàtiques

Similarity:

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

Similarity:

[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

Similarity:

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

Similarity:

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)

Publicacions Matemàtiques

Similarity:

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, ΣS) do not allow us to define new 2-dimensional symbols on S. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova...

Carleson's Theorem: proof, complements, variations.

Michael T. Lacey (2004)

Publicacions Matemàtiques

Similarity:

Carleson's Theorem from 1965 states that the partial Fourier sums of a square integrable function converge pointwise. We prove an equivalent statement on the real line, following the method developed by the author and C. Thiele. This theorem, and the proof presented, is at the center of an emerging theory which complements the statement and proof of Carleson's theorem. An outline of these variations is also given.