On octahedral extensions of and quadratic -curves
We give a necessary condition for a surjective representation Gal to arise from the -torsion of a -curve. We pay a special attention to the case of quadratic -curves.
On elliptic Galois representations and genus-zero modular units
Given an odd prime and a representation of the absolute Galois group of a number field onto with cyclotomic determinant, the moduli space of elliptic curves defined over with -torsion giving rise to consists of two twists of the modular curve . We make here explicit the only genus-zero cases and , which are also the only cases: for or , respectively. This is done by studying the corresponding twisted Galois actions on the function field of the curve, for which a description...
Rational points on twists of X₀(63)
Obtainment of the norm in Bergman spaces.
Sets in which the Besov norm in attained.
The angular distribution of mass by weighted Bergman functions.
Inverse images of function sectors in the weighted Bergman space.
BMO-scale of distribution on
Let be the class of tempered distributions. For we denote by the Bessel potential of of order . We prove that if , then for any , , where , . Also, we give necessary and sufficient conditions in order that the Bessel potential of a tempered distribution of order belongs to the space.
El índice de poder de Banzhaf en la Unión Europea ampliada.
En este trabajo se definen algoritmos, basados en funciones generatrices, para calcular el índice de poder de Banzhaf en juegos simples de votación ponderada y en juegos de doble y triple mayoría. La utilización de funciones generatrices permite un cálculo exacto del índice de Banzhaf con una reducción sensible de la complejidad temporal. Además se calculan los índices de Banzhaf para las reglas de decisión, aprobadas en la cumbre de Niza, que se utilizarán en la Unión Europea ampliada a 27 países....
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