2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165932In this note, we describe a conjecture, that, for an odd prime p, relates special values of a cup product pairing on cyclotomic p-units in the pth cyclotomic field to the L-values of newforms satisfying modulo p congruences with Eisenstein series.9 pagesNumber Theory11R34; 11F67; 11R18text