16 citations · 20 across the 5 of their papers we have counts for
5 papers
Formes modulaires modulo : L'ordre de nilpotence des opérateurs de Hecke (version développée)
Jean-Louis Nicolas
Let be the reduction mod 2 of the series. A modular form modulo of level 1 is a polynomial in . If is a…
Formes modulaires modulo 2 : structure de l'algèbre de Hecke
Jean-Louis Nicolas, Jean-Pierre Serre
Modular forms mod 2 : structure of the Hecke ring We show that the Hecke algebra for modular forms mod 2 of level 1 is isomorphic to the power series ring F2[[x, y]], where x = T3…
Formes modulaires modulo 2 : l'ordre de nilpotence des opérateurs de Hecke
Jean-Louis Nicolas, Jean-Pierre Serre
The nilpotence order of the mod 2 Hecke operators. Let be the reduction mod 2 of the series. A modular form f modulo 2 of level…
Quelques inégalités effectives entre des fonctions arithmétiques usuelles
Jean-Louis Nicolas
Let us denote by and $\si(n)$ the number and the sum of the divisors of and by $\vfi$ Euler's function. We give effective upper bounds for $\frac{n}{\vfi(n)}$ in terms o…
Grandes valeurs et nombres champions de la fonction arithmétique de Kálmar
M. Deléglise, M. O. Hernane, J. -L. Nicolas
The Kalmár function K(n) counts the ordered factorizations of n as a product of integers bigger than 1. We precise the maximal order of K(n) and give several properties of the K-ch…