4 papers
Idéaux premiers totalement décomposés et sommes de Newton
Dominique Bernardi, Alain Kraus
Let be a number field and an irreducible monic polynomial with coefficients in , the ring of integers of . We aim to enounce an effective criterion, in term…
Symboles modulaires et produit de Petersson
Dominique Bernardi, Bernadette Perrin-Riou
We revisit some papers by Eichler and Shimura in order to give an algebraic formulation (based on Farey symbols) for the intersection product on the space of modular symbols, as de…
Polygones fondamentaux d'une courbe modulaire
Karim Belabas, Dominique Bernardi, Bernadette Perrin-Riou
A few pages in Siegel describe how, starting with a fundamental polygon for a compact Riemann surface, one can construct a symplectic basis of its homology. This note retells that…
La constante de Manin et le degré modulaire d'une courbe elliptique
Karim Belabas, Dominique Bernardi, Bernadette Perrin-Riou
We revisit the calculation of the strong Weil curve in an isogeny class of elliptic curves over Q, of the Manin constant and modular degree of an elliptic curve, using modular symb…