Displaying similar documents to “Thetanullwerte: from periods to good equations.”

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)].

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)].

Volcanoes of l-isogenies of elliptic curves over finite fields: The case l=3.

Josep M. Miret Biosca, Daniel Sadornil Renedo, Juan Tena Ayuso, Rosana Tomàs, Magda Valls Marsal (2007)

Publicacions Matemàtiques

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This paper is devoted to the study of the volcanoes of ℓ-isogenies of elliptic curves over a finite field, focusing on their height as well as on the location of curves across its different levels. The core of the paper lies on the relationship between the ℓ-Sylow subgroup of an elliptic curve and the level of the volcano where it is placed. The particular case ℓ = 3 is studied in detail, giving an algorithm to determine the volcano of 3-isogenies of a given elliptic curve. Experimental...

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)]. ...