241 citations
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Showing 1996Show all
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alg-geom1996★ 38 cited
Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres
Pierre Parent
In this paper we give a detailed proof of a result we announced a year ago. This result is an effective version of the theorem of Mazur-Kamienny-Merel concerning uniform bounds for…
alg-geom1996
On the semi-simplicity of the -operator on modular forms
Robert F. Coleman, Bas Edixhoven
Let be a prime number and an integer prime to . We show that the operator on the space of cuspidal modular forms of level and weight two is semi-simple. It fo…
alg-geom1996★ 5 cited
Special points on the product of two modular curves
Bas Edixhoven
We prove, assuming the Generalized Riemann Hypothesis for imaginary quadratic fields, that irreducible curves in the product of two modular curves that contain infinitely many comp…