Special values of the $j$-function and related modular functions
(Un exposé de Winfried Kohnen au séminaire de théorie
des nombres de Chevaleret le 29 avril 2002)
Résumé :
I will report on recent joint work with J.H.
Bruinier and K. Ono about arithmetic properties of average sums of
the values
of the usual elliptic modular invariant $j$ (and a sequence of related
modular functions) over the points of the divisor of a non-zero modular
function.