pages57-67. 200KB Jun 04 2011 12:07:00 AM
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fortunately, the method used by Mazur [4] to determine the Q -rational points on more conventional modular curves do not seem to apply directly to X N ′ (p) as its
In an earlier paper [2] we gathered together basic arithmetic facts and further results and conjectures about the two families of cubic fields con- taining exceptional units, the
Or les points rationnels de la conique projective d’´equation (9) sont denses dans l’ensemble des points r´eels (couper celle–ci par les droites de pente rationnelle passant par
For this purpose, we pro- pose to use the action of the Frobenius on torsion points of small order built with class invariants generalizing the classical Weber functions..
The proof serves to demonstrate two innovations: a strong re- pulsion principle for integer points on curves of positive genus, and a number-theoretical analogue of Sanov’s theorem
Comme dans le cas des points CM sur les courbes modulaires classiques, les fausses courbes elliptiques CM jouent un role cl´e dans la con- struction des corps de classes au moyen
for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of
This is related to the fact that the Hida test algebra is a space of continuous functionals on an abstract Wiener space associated to the Hilbert space of the theory.. The Hida
