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19982021
most citedOverconvergent modular symboles and p-adic L-functions

2 citations · 2 across the 3 of their papers we have counts for

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math.NT20212 cited

Overconvergent modular symboles and p-adic L-functions

Karim Belabas, Bernadette Perrin-Riou

We come back to the construction of p-adic L-functions attached to cusp forms of even weight k in the spirit of G. Stevens, R. Pollack [7] and M. Greenberg [3] with a new unified p…

math.NT2020

Note sur les diviseurs élémentaires du régulateur d'Iwasawa

Bernadette Perrin-Riou

The article revisits a result of Antonio Lei, David Loeffler, and Sarah Livia Zerbes concerning the structure of the image by the Iwasawa regulator map of the Iwasawa module associ…

math.NT2020

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…

math.NT2018

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…

math.NT2018

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…

math.NT2002

Groupes de Selmer et accouplements

Bernadette Perrin-Riou

Nekovář vient de démontrer que le rang de $E(\Q)$ pour une courbe elliptique définie sur $\Q$ est de même parité que la multiplicité du zéro en de la fonction comp…