Displaying similar documents to “Volcanoes of l-isogenies of elliptic curves over finite fields: The case l=3.”

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)]. ...

Generalization of Vélu's formulae for isogenies between elliptic curves.

Josep M. Miret Biosca, Ramiro Moreno, Anna Rio (2007)

Publicacions Matemàtiques

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Given an elliptic curve E and a finite subgroup G, Vélu's formulae concern to a separable isogeny IG: E → E' with kernel G. In particular, for a point P ∈ E these formulae express the first elementary symmetric polynomial on the abscissas of the points in the set P+G as the difference between the abscissa of IG(P) and the first elementary symmetric polynomial on the abscissas of the nontrivial points of the kernel G. On the other hand, they express...

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)].

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)].